%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.07", %%% date = "16 November 2023", %%% time = "11:05:34 MST", %%% filename = "lehmer-derrick-henry.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "https://www.math.utah.edu/~beebe", %%% checksum = "51956 15578 61847 647911", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography; BibTeX; Derrick Henry Lehmer; %%% ENIAC; Lucas--Lehmer test for Mersenne %%% Primes; number theory; pseudorandom number %%% generation", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of works by, and %%% about, the distinguished American number %%% theorist Derrick Henry (D. H.) Lehmer %%% (23 February 1905--22 May 1991). %%% %%% There is an online enclopedia article about %%% D. H. Lehmer (his preferred publication %%% credit), at %%% %%% https://en.wikipedia.org/wiki/D._H._Lehmer %%% %%% D. H. Lehmer is the son of mathematician %%% Derrick Norman (D. N.) Lehmer, and they %%% sometimes published together. %%% %%% D. H. Lehmer's spouse is mathematician Emma %%% Markovna Trotskaia Lehmer, and they also %%% published several articles together. %%% %%% The Mathematics Generalogy site at %%% %%% https://genealogy.math.ndsu.nodak.edu/id.php?id=4283 %%% %%% reports that D. H. Lehmer has 19 students and %%% 414 academic descendants. %%% %%% At version 1.07, the year coverage looked %%% like this: %%% %%% 1925 ( 1) 1958 ( 2) 1991 ( 5) %%% 1926 ( 6) 1959 ( 8) 1992 ( 3) %%% 1927 ( 8) 1960 ( 7) 1993 ( 10) %%% 1928 ( 3) 1961 ( 5) 1994 ( 7) %%% 1929 ( 3) 1962 ( 6) 1995 ( 4) %%% 1930 ( 12) 1963 ( 13) 1996 ( 4) %%% 1931 ( 7) 1964 ( 6) 1997 ( 3) %%% 1932 ( 9) 1965 ( 5) 1998 ( 2) %%% 1933 ( 7) 1966 ( 5) 1999 ( 0) %%% 1934 ( 1) 1967 ( 1) 2000 ( 3) %%% 1935 ( 3) 1968 ( 1) 2001 ( 6) %%% 1936 ( 19) 1969 ( 5) 2002 ( 4) %%% 1937 ( 10) 1970 ( 6) 2003 ( 6) %%% 1938 ( 23) 1971 ( 8) 2004 ( 5) %%% 1939 ( 14) 1972 ( 4) 2005 ( 1) %%% 1940 ( 10) 1973 ( 7) 2006 ( 4) %%% 1941 ( 8) 1974 ( 6) 2007 ( 7) %%% 1942 ( 4) 1975 ( 3) 2008 ( 6) %%% 1943 ( 5) 1976 ( 8) 2009 ( 8) %%% 1944 ( 7) 1977 ( 5) 2010 ( 8) %%% 1945 ( 1) 1978 ( 6) 2011 ( 5) %%% 1946 ( 9) 1979 ( 14) 2012 ( 4) %%% 1947 ( 5) 1980 ( 8) 2013 ( 12) %%% 1948 ( 7) 1981 ( 7) 2014 ( 3) %%% 1949 ( 6) 1982 ( 8) 2015 ( 5) %%% 1950 ( 5) 1983 ( 11) 2016 ( 2) %%% 1951 ( 6) 1984 ( 3) 2017 ( 3) %%% 1952 ( 2) 1985 ( 7) 2018 ( 3) %%% 1953 ( 9) 1986 ( 4) 2019 ( 5) %%% 1954 ( 7) 1987 ( 5) 2020 ( 2) %%% 1955 ( 16) 1988 ( 8) 2021 ( 2) %%% 1956 ( 18) 1989 ( 2) 2022 ( 2) %%% 1957 ( 11) 1990 ( 5) %%% %%% Article: 550 %%% Book: 11 %%% InCollection: 10 %%% InProceedings: 23 %%% PhdThesis: 1 %%% Proceedings: 8 %%% TechReport: 2 %%% %%% Total entries: 605 %%% %%% Data for this bibliography have been %%% collected from the BibNet Project and TeX %%% User Group bibliography archives, from the %%% Elsevier ScienceDirect, JSTOR, MathSciNet, %%% Nature, Science, Springer, Wiley, and zbMATH %%% databases. %%% %%% Standardized citation labels are generated by %%% software developed for the BibNet Project. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== @Preamble{ "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" } %%% ==================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|https://www.math.utah.edu/~beebe/|"} %%% ==================================================================== %%% Institution abbreviations: %%% ==================================================================== %%% Journal abbreviations: @String{j-ABSTR-APPL-ANAL = "Abstract and Applied Analysis"} @String{j-ACTA-ARITHMETICA = "Acta Arithmetica"} @String{j-ACTA-MATH = "Acta Mathematica"} @String{j-AM-J-MATH = "American Journal of Mathematics"} @String{j-AM-SCI = "American Scientist"} @String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"} @String{j-ANN-MATH = "Annals of Mathematics"} @String{j-ANN-MATH-2 = "Annals of Mathematics (2)"} @String{j-ANN-MATH-STAT = "Annals of Mathematical Statistics"} @String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"} @String{j-BIOMETRIKA = "Biometrika"} @String{j-BIT = "BIT (Nordisk tidskrift for informationsbehandling)"} @String{j-BULL-AMS = "Bulletin of the American Mathematical Society"} @String{j-BULL-LOND-MATH-SOC = "Bulletin of the London Mathematical Society"} @String{j-CACM = "Communications of the ACM"} @String{j-CAN-J-MATH = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques"} @String{j-CAN-MATH-BULL = "Bulletin canadien de math\-{\'e}\-mat\-iques = Canadian Mathematical Bulletin"} @String{j-COMBIN-PROBAB-COMPUT = "Combinatorics, Probability and Computing"} @String{j-COMMUN-STAT-SIMUL-COMPUT = "Communications in Statistics: Simulation and Computation"} @String{j-COMP-J = "The Computer Journal"} @String{j-COMP-PHYS-COMM = "Computer Physics Communications"} @String{j-COMPOS-MATH = "Compositio Mathematica"} @String{j-COMPUTING = "Computing: Archiv f{\"u}r informatik und numerik"} @String{j-CONG-NUM = "Congressus Numerantium"} @String{j-CONST-APPROX = "Constructive Approximation"} @String{j-CZECH-MATH-J = "Czechoslovak Mathematical Journal = Chekhoslovatskii Matematicheskii Zhurnal"} @String{j-DESIGNS-CODES-CRYPTOGR = "Designs, Codes, and Cryptography"} @String{j-DUKE-MATH-J = "Duke Mathematical Journal"} @String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical Analysis (ETNA)"} @String{j-EXP-MATH = "Experimental Mathematics"} @String{j-FIB-QUART = "Fibonacci Quarterly"} @String{j-GLASG-MATH-J = "Glasgow Mathematical Journal"} @String{j-IEE-PROC-COMPUT-DIGIT-TECH = "IEE Proceedings. Computers and Digital Techniques"} @String{j-IEEE-ANN-HIST-COMPUT = "IEEE Annals of the History of Computing"} @String{j-IEEE-TRANS-ELEC-COMPUT = "IEEE Transactions on Electronic Computers"} @String{j-ILL-J-MATH = "Illinois Journal of Mathematics"} @String{j-INFO-PROC-LETT = "Information Processing Letters"} @String{j-INT-J-NUMBER-THEORY = "International Journal of Number Theory"} @String{j-J-ACM = "Journal of the ACM"} @String{j-J-ALGEBRA = "Journal of Algebra"} @String{j-J-APPL-STAT = "Journal of Applied Statistics"} @String{j-J-AUSTRALIAN-MATH-SOC = "Journal of the Australian Mathematical Society"} @String{j-J-AUSTRAL-MATH-SOC-SER-A = "Journal of the Australian Mathematical Society. Series A"} @String{j-J-COMB-THEORY-A = "Journal of Combinatorial Theory (Series A)"} @String{j-J-COMPUT-PHYS = "Journal of Computational Physics"} @String{j-J-LOND-MATH-SOC = "Journal of the London Mathematical Society"} @String{j-J-MATH-ANAL-APPL = "Journal of Mathematical Analysis and Applications"} @String{j-J-NUMBER-THEORY = "Journal of Number Theory"} @String{j-J-REINE-ANGEW-MATH = "{Journal f{\"u}r die reine und angewandte Mathematik}"} @String{j-J-WASH-ACAD-SCI = "Journal of the Washington Academy of Sciences"} @String{j-J-SIAM = "Journal of the Society for Industrial and Applied Mathematics"} @String{j-J-SYMBOLIC-COMP = "Journal of Symbolic Computation"} @String{j-JAPAN-J-MATH-N-S = "Japanese Journal of Mathematics. New Series"} @String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"} @String{j-LECT-NOTES-MATH = "Lecture Notes in Mathematics"} @String{j-LIN-AND-MULT-ALGEBRA = "Linear and Multilinear Algebra"} @String{j-LMS-J-COMPUT-MATH = "LMS Journal of Computation and Mathematics"} @String{j-MATH-ANN = "Mathematische Annalen"} @String{j-MATH-COMPUT = "Mathematics of Computation"} @String{j-MATH-GAZ = "The Mathematical Gazette"} @String{j-MATH-MAG = "Mathematics Magazine"} @String{j-MATH-NACHR = "{Mathematische Nachrichten}"} @String{j-MATH-REV = "Mathematical Reviews"} @String{j-MATH-STUDENT = "The Mathematics Student"} @String{j-MATH-TABLES-OTHER-AIDS-COMPUT = "Mathematical Tables and Other Aids to Computation"} @String{j-MATHEMATIKA = "Mathematika"} @String{j-MONAT-MATH = "{Monatshefte f{\"u}r Mathematik}"} @String{j-NAMS = "Notices of the American Mathematical Society"} @String{j-NUM-MATH = "{Numerische Mathematik}"} @String{j-PAC-J-APPL-MATH = "Pacific Journal of Applied Mathematics"} @String{j-PAC-J-MATH = "Pacific Journal of Mathematics"} @String{j-PROC-AM-MATH-SOC = "Proceedings of the American Mathematical Society"} @String{j-PROC-LONDON-MATH-SOC-3 = "Proc. London Math. Soc. (2)"} @String{j-PROC-NATL-ACAD-SCI-USA = "Proceedings of the National Academy of Sciences of the United States of America"} @String{j-QUART-APPL-MATH = "Quarterly of Applied Mathematics"} @String{j-ROCKY-MOUNTAIN-J-MATH = "Rocky Mountain Journal of Mathematics"} @String{j-SCIENCE = "Science"} @String{j-SCRIPTA-MATH = "Scripta Mathematica"} @String{j-SIAM-J-COMPUT = "SIAM Journal on Computing"} @String{j-SIAM-REVIEW = "SIAM Review"} @String{j-TRANS-AM-MATH-SOC = "Transactions of the American Mathematical Society"} @String{j-UTIL-MATH = "Utilitas Mathematica"} %%% ==================================================================== %%% Publisher abbreviations: @String{pub-ACADEMIC = "Academic Press"} @String{pub-ACADEMIC:adr = "New York, NY, USA"} @String{pub-ACM = "ACM Press"} @String{pub-ACM:adr = "New York, NY 10036, USA"} @String{pub-AMS = "American Mathematical Society"} @String{pub-AMS:adr = "Providence, RI, USA"} @String{pub-CAMBRIDGE = "Cambridge University Press"} @String{pub-CAMBRIDGE:adr = "Cambridge, UK"} @String{pub-DEKKER = "Marcel Dekker"} @String{pub-DEKKER:adr = "New York, NY, USA"} @String{pub-DOVER = "Dover"} @String{pub-DOVER:adr = "New York, NY, USA"} @String{pub-HARVARD = "Harvard University Press"} @String{pub-HARVARD:adr = "Cambridge, MA, USA"} @String{pub-MAA = "Mathematical Association of America"} @String{pub-MAA:adr = "Washington, DC, USA"} @String{pub-MCGRAW-HILL = "Mc{\-}Graw-Hill"} @String{pub-MCGRAW-HILL:adr = "New York, NY, USA"} @String{pub-NORTH-HOLLAND = "North-Hol{\-}land"} @String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"} @String{pub-PRINCETON = "Princeton University Press"} @String{pub-PRINCETON:adr = "Princeton, NJ, USA"} @String{pub-STANFORD = "Stanford University Press"} @String{pub-STANFORD:adr = "Stanford, CA, USA"} @String{pub-SV = "Springer-Verlag"} @String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-WI = "Wiley-In{\-}ter{\-}sci{\-}ence"} @String{pub-WI:adr = "New York, NY, USA"} @String{pub-WILEY = "Wiley"} @String{pub-WILEY:adr = "New York, NY, USA"} %%% ==================================================================== %%% Part 1 (of 3) --- Publications by Derrick Henry Lehmer %%% %%% Bibliography entries, sorted by ascending year, and then by citation %%% label, with ``bibsort -byyear'': @Article{Lehmer:1925:QDD, author = "Derrick Henry Lehmer", title = "Questions and Discussions: Discussions: On the Use of the Calculating Machine for Cube and Fifth Roots", journal = j-AMER-MATH-MONTHLY, volume = "32", number = "7", pages = "377--379", month = aug # "\slash " # sep, year = "1925", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2298804", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1520737", bibdate = "Mon Jun 28 12:37:45 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1926:CDP, author = "Derrick Henry Lehmer", title = "A Cross-Division Process and its Application to the Extraction of Roots", journal = j-AMER-MATH-MONTHLY, volume = "33", number = "4", pages = "198--206", month = apr, year = "1926", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2299536", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1520908", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1926:IE, author = "Derrick Henry Lehmer", title = "On the indeterminate equation {$ t^2 - p^2 D u^2 = 1 $}", journal = j-ANN-MATH-2, volume = "27", number = "4", pages = "471--476", year = "1926", CODEN = "ANMAAH", DOI = "https://doi.org/10.2307/1967697", ISSN = "0003-486x (print), 1939-8980 (electronic)", ISSN-L = "0003-486X", MRclass = "DML", MRnumber = "1502749", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Annals of Mathematics. Second Series", journal-URL = "http://www.jstor.org/action/showPublication?journalCode=annamath", } @Article{Lehmer:1926:PSPa, author = "D. H. Lehmer", title = "Problems and Solutions: Problems for Solution: 3206", journal = j-AMER-MATH-MONTHLY, volume = "33", number = "7", pages = "385--385", month = aug # "\slash " # sep, year = "1926", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:08 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib", note = "See also \cite{Andrew:1927:PSS,Bullard:1927:PSS,Lehmer:1929:PSS,Mills:1927:PSS,Spunar:1927:PSS}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1926:PSPb, author = "D. H. Lehmer", title = "Problems and Solutions: Problems for Solution: 3182", journal = j-AMER-MATH-MONTHLY, volume = "33", number = "5", pages = "278--279", month = may, year = "1926", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:04 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib", note = "See also \cite{Fitch:1961:APS,Irwin:1927:PSS,Riley:1927:PSSb}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", xxnote = "Check pages??", } @Article{Lehmer:1926:VNB, author = "Derrick Henry Lehmer", title = "On the Value of the {Napierian} Base", journal = j-AM-J-MATH, volume = "48", number = "2", pages = "139--143", year = "1926", CODEN = "AJMAAN", DOI = "https://doi.org/10.2307/2370743", ISSN = "0002-9327 (print), 1080-6377 (electronic)", ISSN-L = "0002-9327", MRclass = "DML", MRnumber = "1506580", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Journal of Mathematics", } @Article{Lehmer:1927:PSS, author = "D. H. Lehmer", title = "Problems and Solutions: Solutions: 3194", journal = j-AMER-MATH-MONTHLY, volume = "34", number = "7", pages = "381--382", month = aug # "\slash " # sep, year = "1927", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:30 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1927:TPC, author = "D. H. Lehmer", title = "Tests for primality by the converse of {Fermat}'s theorem", journal = j-BULL-AMS, volume = "33", number = "3", pages = "327--340", year = "1927", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1927-04368-3", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "DML", MRnumber = "1561374", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Spunar:1927:PSS, author = "V. M. Spunar and D. H. Lehmer", title = "Problems and Solutions: Solutions: 3208", journal = j-AMER-MATH-MONTHLY, volume = "34", number = "6", pages = "339--339", month = jun # "\slash " # jul, year = "1927", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:28 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib", note = "See also \cite{Lehmer:1926:PSPa}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1928:MCL, author = "D. H. Lehmer", title = "The Mechanical Combination of Linear Forms", journal = j-AMER-MATH-MONTHLY, volume = "35", number = "3", pages = "114--121", month = mar, year = "1928", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2299504", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1521394", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1928:MSP, author = "D. H. Lehmer", title = "On the multiple solutions of the {Pell} equation", journal = j-ANN-MATH-2, volume = "30", number = "1-4", pages = "66--72", year = "1928/29", CODEN = "ANMAAH", DOI = "https://doi.org/10.2307/1968268", ISSN = "0003-486x (print), 1939-8980 (electronic)", ISSN-L = "0003-486X", MRclass = "DML", MRnumber = "1502870", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Annals of Mathematics. Second Series", journal-URL = "http://www.jstor.org/action/showPublication?journalCode=annamath", } @Article{Lehmer:1929:PSS, author = "D. H. Lehmer", title = "Problems and Solutions: Solutions: 3206", journal = j-AMER-MATH-MONTHLY, volume = "36", number = "3", pages = "173--173", month = mar, year = "1929", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:05 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib", note = "See also \cite{Lehmer:1926:PSPa}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1929:SDS, author = "D. H. Lehmer", title = "On {Stern}'s Diatomic Series", journal = j-AMER-MATH-MONTHLY, volume = "36", number = "2", pages = "59--67", month = feb, year = "1929", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2299356", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1521653", bibdate = "Mon Jun 28 12:39:03 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1920.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Irwin:1930:PSS, author = "Frank Irwin and Emma T. Lehmer", title = "Problems and Solutions: Solutions: 3350", journal = j-AMER-MATH-MONTHLY, volume = "37", number = "9", pages = "508--510", month = nov, year = "1930", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:36:02 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Corey:1928:PSP}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1930:DAS, author = "D. H. Lehmer", title = "The $p$ Dimensional Analogue of {Smith}'s Determinant", journal = j-AMER-MATH-MONTHLY, volume = "37", number = "6", pages = "294--296", month = jun # "\slash " # jul, year = "1930", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:35:55 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1930:DN, author = "D. H. Lehmer", title = "On the $r$-th Divisors of a Number", journal = j-AM-J-MATH, volume = "52", number = "2", pages = "293--304", year = "1930", CODEN = "AJMAAN", ISSN = "0002-9327 (print), 1080-6377 (electronic)", ISSN-L = "0002-9327", bibdate = "Mon Jan 31 10:50:30 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://www.jstor.org/stable/2370684", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Journal of Mathematics", } @Article{Lehmer:1930:ETLa, author = "D. H. Lehmer", title = "An extended theory of {Lucas}' functions", journal = j-ANN-MATH-2, volume = "31", number = "3", pages = "419--448", year = "1930", CODEN = "ANMAAH", DOI = "https://doi.org/10.2307/1968235", ISSN = "0003-486x (print), 1939-8980 (electronic)", ISSN-L = "0003-486X", MRclass = "DML", MRnumber = "1502953", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Annals of Mathematics. Second Series", journal-URL = "http://www.jstor.org/action/showPublication?journalCode=annamath", } @PhdThesis{Lehmer:1930:ETLb, author = "Derrick Henry Lehmer", title = "An Extended Theory of {Lucas}' Functions", type = "Thesis ({Ph.D.})", school = "Brown University", address = "Providence, RI, USA", pages = "30", year = "1930", MRclass = "Thesis", MRnumber = "2936243", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "https://www.proquest.com/docview/301779711/EB0B951CDB47418APQ", acknowledgement = ack-nhfb, advisor = "Jacob David Tamarkin", author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Wong:1930:PSS, author = "B. C. Wong and Emma T. Lehmer", title = "Problems and Solutions: Solutions: 3414", journal = j-AMER-MATH-MONTHLY, volume = "37", number = "10", pages = "558--558", month = dec, year = "1930", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:36:04 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Rider:1930:PSP}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1931:ADS, author = "D. H. Lehmer", title = "Arithmetic of double series", journal = j-TRANS-AM-MATH-SOC, volume = "33", number = "4", pages = "945--957", year = "1931", CODEN = "TAMTAM", DOI = "https://doi.org/10.2307/1989517", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "11A25", MRnumber = "1501625", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", } @Article{Lehmer:1931:FLN, author = "D. H. Lehmer and R. E. Powers", title = "On factoring large numbers", journal = j-BULL-AMS, volume = "37", number = "10", pages = "770--776", year = "1931", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1931-05271-X", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "DML", MRnumber = "1562254", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Lehmer:1931:NCN, author = "D. H. Lehmer", title = "A New Calculus of Numerical Functions", journal = j-AM-J-MATH, volume = "53", number = "4", pages = "843--854", year = "1931", CODEN = "AJMAAN", ISSN = "0002-9327 (print), 1080-6377 (electronic)", ISSN-L = "0002-9327", bibdate = "Mon Jan 31 10:50:30 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://www.jstor.org/stable/2371229", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Journal of Mathematics", } @Article{Lehmer:1931:PSP, author = "Emma T. Lehmer and Vladimir F. Ivanoff and Nathan Altshiller-Court", title = "Problems and Solutions: Problems for Solution: 3475--3478", journal = j-AMER-MATH-MONTHLY, volume = "38", number = "2", pages = "111--112", month = feb, year = "1931", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:36:08 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Altshiller-Court:1932:PSSa,Ivanoff:1932:PSSa,Ivanoff:1932:PSSb}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1932:APB, author = "D. H. Lehmer", title = "Arithmetical periodicities of {Bessel} functions", journal = j-ANN-MATH-2, volume = "33", number = "1", pages = "143--150", year = "1932", CODEN = "ANMAAH", DOI = "https://doi.org/10.2307/1968107", ISSN = "0003-486x (print), 1939-8980 (electronic)", ISSN-L = "0003-486X", MRclass = "DML", MRnumber = "1503040", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Annals of Mathematics. Second Series", journal-URL = "http://www.jstor.org/action/showPublication?journalCode=annamath", } @Article{Lehmer:1932:ETF, author = "D. H. Lehmer", title = "On {Euler}'s totient function", journal = j-BULL-AMS, volume = "38", number = "10", pages = "745--751", year = "1932", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1932-05521-5", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "DML", MRnumber = "1562500", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Lehmer:1932:NFL, author = "D. H. Lehmer", title = "A note on {Fermat's Last Theorem}", journal = j-BULL-AMS, volume = "38", number = "10", pages = "723--724", year = "1932", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1932-05515-X", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "DML", MRnumber = "1562496", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Lehmer:1932:NMN, author = "D. H. Lehmer", title = "Note on {Mersenne} numbers", journal = j-BULL-AMS, volume = "38", number = "6", pages = "383--384", year = "1932", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1932-05396-4", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "DML", MRnumber = "1562402", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Lehmer:1932:QCP, author = "D. H. Lehmer", title = "Quasi-Cyclotomic Polynomials", journal = j-AMER-MATH-MONTHLY, volume = "39", number = "7", pages = "383--389", month = aug # "\slash " # sep, year = "1932", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2300384", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1522570", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1932:TAA, author = "D. H. Lehmer", title = "A Ternary Analogue of {Abelian} Groups", journal = j-AM-J-MATH, volume = "54", number = "2", pages = "329--338", year = "1932", CODEN = "AJMAAN", DOI = "https://doi.org/10.2307/2370997", ISSN = "0002-9327 (print), 1080-6377 (electronic)", ISSN-L = "0002-9327", MRclass = "DML", MRnumber = "1506898", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Journal of Mathematics", } @Article{Lehmer:1933:FCC, author = "D. H. Lehmer", title = "Factorization of Certain Cyclotomic Functions", journal = j-ANN-MATH, volume = "34", number = "3", pages = "461--479", year = "1933", CODEN = "ANMAAH", DOI = "https://doi.org/10.2307/1968172", ISSN = "0003-486X (print), 1939-8980 (electronic)", ISSN-L = "0003-486X", MRclass = "DML", MRnumber = "1503118", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://www.jstor.org/stable/1968172", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Annals of Mathematics", journal-URL = "http://annals.math.princeton.edu/; http://www.jstor.org/action/showPublication?journalCode=annamath", } @Article{Lehmer:1933:NNT, author = "D. H. Lehmer", title = "Numerical Notations and Their Influence on Mathematics", journal = "Math. News Lett.", volume = "7", number = "6", pages = "8--12", year = "1933", ISSN = "1539-557X", MRclass = "DML", MRnumber = "1569053", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://www.jstor.org/stable/3027767?origin=pubexport", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematics News Letter", } @Article{Lehmer:1933:NTA, author = "D. H. Lehmer", title = "A Note on Trigonometric Algebraic Numbers", journal = j-AMER-MATH-MONTHLY, volume = "40", number = "3", pages = "165--166", year = "1933", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jan 31 10:50:30 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://www.jstor.org/stable/2301023", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1933:PEN, author = "D. H. Lehmer", title = "A Photo-Electric Number Sieve", journal = j-AMER-MATH-MONTHLY, volume = "40", number = "7", pages = "401--406", month = aug # "\slash " # sep, year = "1933", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2302134", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1522863", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See corrigenda \cite{Anonymous:1933:CPE}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1933:QDN, author = "D. H. Lehmer", title = "Questions, Discussions, and Notes: {A} Note on Trigonometric Algebraic Numbers", journal = j-AMER-MATH-MONTHLY, volume = "40", number = "3", pages = "165--166", month = mar, year = "1933", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2301023", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1522747", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1933:SNF, author = "D. H. Lehmer", title = "Some new factorizations of $ 2^n \pm 1 $", journal = j-BULL-AMS, volume = "39", number = "2", pages = "105--108", year = "1933", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1933-05571-4", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "DML", MRnumber = "1562560", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Lehmer:1934:MCS, author = "D. H. Lehmer", title = "A machine for combining sets of linear congruences", journal = j-MATH-ANN, volume = "109", number = "1", pages = "661--667", year = "1934", CODEN = "MAANA3", DOI = "https://doi.org/10.1007/BF01449160", ISSN = "0025-5831 (print), 1432-1807 (electronic)", ISSN-L = "0025-5831", MRclass = "DML", MRnumber = "1512915", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematische Annalen", journal-URL = "http://link.springer.com/journal/208", } @Article{Gloden:1935:PSE, author = "A. Gloden and D. H. Lehmer and V. Th{\'e}bault and M. O. Reade and C. A. Richmond and W. F. {Cheney, Jr.}", title = "Problems and Solutions: Elementary Problems: Problems for Solution: {E181}--{E186}", journal = j-AMER-MATH-MONTHLY, volume = "42", number = "10", pages = "621--622", month = dec, year = "1935", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Cheney:1936:PSEe,Gloden:1936:PSEb,Lehmer:1936:PSEb,Reade:1936:PSE,Richmond:1936:PSE,Richmond:1937:PSE,Thebault:1936:PSEe}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1935:LRF, author = "D. H. Lehmer", title = "Lacunary recurrence formulas for the numbers of {Bernoulli} and {Euler}", journal = j-ANN-MATH-2, volume = "36", number = "3", pages = "637--649", year = "1935", CODEN = "ANMAAH", DOI = "https://doi.org/10.2307/1968647", ISSN = "0003-486x (print), 1939-8980 (electronic)", ISSN-L = "0003-486X", MRclass = "DML", MRnumber = "1503241", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Annals of Mathematics. Second Series", journal-URL = "http://www.jstor.org/action/showPublication?journalCode=annamath", } @Article{Lehmer:1935:LTP, author = "D. H. Lehmer", title = "On {Lucas}'s Test for the Primality of {Mersenne}'s Numbers", journal = j-J-LOND-MATH-SOC, volume = "s1-10", number = "3", pages = "162--165", month = jul, year = "1935", CODEN = "JLMSAK", DOI = "https://doi.org/10.1112/jlms/s1-10.2.162", ISSN = "0024-6107 (print), 1469-7750 (electronic)", ISSN-L = "0024-6107", bibdate = "Mon Jan 31 10:10:16 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Journal of the London Mathematical Society", journal-URL = "http://jlms.oxfordjournals.org/content/by/year", } @Article{Lehmer:1936:BRB, author = "D. H. Lehmer", title = "Book Review: {{\booktitle{British Association Mathematical Tables. Vol. V. Factor Table}}. By J. Peters, A. Lodge and E. J. Ternouth, E. Gifford. xv + 291 pp. London, 1935. 20s.}", journal = j-SCIENCE, volume = "84", number = "2189", pages = "535--536", day = "11", month = dec, year = "1936", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.84.2189.535.b", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Mon Jan 31 10:35:25 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @Article{Lehmer:1936:CFT, author = "D. H. Lehmer", title = "On the Converse of {Fermat's Theorem}", journal = j-AMER-MATH-MONTHLY, volume = "43", number = "6", pages = "347--354", month = jun # "\slash " # jul, year = "1936", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2301798", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1523680", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1936:CR, author = "D. H. Lehmer", title = "On a Conjecture of {Ramanujan}", journal = j-J-LOND-MATH-SOC, volume = "s1-11", number = "2", pages = "114--118", month = apr, year = "1936", CODEN = "JLMSAK", DOI = "https://doi.org/10.1112/jlms/s1-11.2.114", ISSN = "0024-6107 (print), 1469-7750 (electronic)", ISSN-L = "0024-6107", bibdate = "Mon Jan 31 10:08:35 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Journal of the London Mathematical Society", journal-URL = "http://jlms.oxfordjournals.org/content/by/year", } @Article{Lehmer:1936:ETB, author = "D. H. Lehmer", title = "An extension of the table of {Bernoulli} numbers", journal = j-DUKE-MATH-J, volume = "2", number = "3", pages = "460--464", year = "1936", CODEN = "DUMJAO", DOI = "https://doi.org/10.1215/S0012-7094-36-00238-7", ISSN = "0012-7094 (print), 1547-7398 (electronic)", ISSN-L = "0012-7094", MRclass = "DML", MRnumber = "1545938", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Duke Mathematical Journal", journal-URL = "http://projecteuclid.org/info/euclid.dmj", } @Article{Lehmer:1936:PAC, author = "D. H. Lehmer", title = "Polynomials for the $n$-Ary Composition of Numerical Functions", journal = j-AM-J-MATH, volume = "58", number = "3", pages = "563--572", year = "1936", CODEN = "AJMAAN", ISSN = "0002-9327 (print), 1080-6377 (electronic)", ISSN-L = "0002-9327", bibdate = "Mon Jan 31 10:50:30 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://www.jstor.org/stable/2370974", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Journal of Mathematics", } @Article{Lehmer:1936:PSA, author = "D. H. Lehmer and Frank {Ayres, Jr.} and N. A. Court and R. E. Gaines and R. Goormaghtigh", title = "Problems and Solutions: Advanced Problems: Problems for Solution: 3801--3806", journal = j-AMER-MATH-MONTHLY, volume = "43", number = "9", pages = "580--581", month = nov, year = "1936", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:19 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Ayres:1938:PSA,Court:1938:PSAc,Gaines:1938:PSA,Lehmer:1938:PSA,Lehmer:1938:PSS}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1936:PSEa, author = "Emma Lehmer and L. S. Johnston and V. Th{\'e}bault and G. A. Whittemore and J. M. Feld and S. A. Anderson", title = "Problems and Solutions: Elementary Problems: Problems for Solution: {E205}--{E210}", journal = j-AMER-MATH-MONTHLY, volume = "43", number = "4", pages = "241--242", month = apr, year = "1936", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:08 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Anderson:1936:PSE,Feld:1936:PSEc,Johnston:1936:PSE,Lehmer:1936:PSEc,Thebault:1936:PSEj,Whittemore:1936:PSE,Whittemore:1938:PSE}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1936:PSEb, author = "D. H. Lehmer and E. P. Starke", title = "Problems and Solutions: Elementary Problems: Solutions: {E182}", journal = j-AMER-MATH-MONTHLY, volume = "43", number = "5", pages = "307--308", month = may, year = "1936", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:10 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Gloden:1935:PSE}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1936:PSEc, author = "Emma Lehmer and Frank {Ayres, Jr.}", title = "Problems and Solutions: Elementary Problems: Solutions: {E205}", journal = j-AMER-MATH-MONTHLY, volume = "43", number = "10", pages = "639--640", month = dec, year = "1936", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:21 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Lehmer:1936:PSEa}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1937:HRS, author = "D. H. Lehmer", title = "On the {Hardy--Ramanujan} Series for the Partition Function", journal = j-J-LOND-MATH-SOC, volume = "s1-12", number = "3", pages = "171--176", month = jul, year = "1937", CODEN = "JLMSAK", DOI = "https://doi.org/10.1112/jlms/s1-12.2.171", ISSN = "0024-6107 (print), 1469-7750 (electronic)", ISSN-L = "0024-6107", bibdate = "Mon Jan 31 10:11:47 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Journal of the London Mathematical Society", journal-URL = "http://jlms.oxfordjournals.org/content/by/year", } @Article{Lehmer:1937:N, author = "D. H. Lehmer", title = "A Note on $ m^2 = n! + 1 $", journal = j-AMER-MATH-MONTHLY, volume = "44", number = "3", pages = "166--167", year = "1937", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jan 31 10:50:30 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://www.jstor.org/stable/2301663", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1937:QDNa, author = "D. H. Lehmer", title = "Questions, Discussions, and Notes: {A} Note on $ m^2 = n! + 1 $", journal = j-AMER-MATH-MONTHLY, volume = "44", number = "3", pages = "166--167", month = mar, year = "1937", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:28 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1937:QDNb, author = "Emma Lehmer", title = "Questions, Discussions, and Notes: {A} Note on {Wilson}'s Quotient", journal = j-AMER-MATH-MONTHLY, volume = "44", number = "4", pages = "237--238", month = apr, year = "1937", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:30 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1937:QDNc, author = "Emma Lehmer", title = "Questions, Discussions, and Notes: On the Congruence $ (p - 1)! \equiv - 1 (\bmod p^2) $", journal = j-AMER-MATH-MONTHLY, volume = "44", number = "7", pages = "462--462", month = aug # "\slash " # sep, year = "1937", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:37 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1937:RPR, author = "D. N. Lehmer", title = "Recent Publications: Reviews: {{\em Construction, Classification and Census of Magic Squares of Even Order}}, by {A. L. Candy}", journal = j-AMER-MATH-MONTHLY, volume = "44", number = "8", pages = "528--528", month = oct, year = "1937", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:39 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Wallace:1937:PSA, author = "Don Wallace and Emma Lehmer and Paul Erd{\H{o}}s and H. P. Thielman and J. R. Musselman and V. Th{\'e}bault", title = "Problems and Solutions: Advanced Problems: Problems for Solution: 3832--3840", journal = j-AMER-MATH-MONTHLY, volume = "44", number = "6", pages = "393--395", month = jun # "\slash " # jul, year = "1937", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:35 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Erdos:1958:APSa,Lehmer:1939:PSA,Musselman:1939:PSAb,Thebault:1939:PSAh,Thebault:1940:PSAk,Thielman:1939:PSS,Thielman:1940:PSA,Wallace:1939:PSSb}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Alfieri:1938:PSEa, author = "F. A. Alfieri and J. E. Trevor and W. F. {Cheney, Jr.} and N. A. Court and Joseph Rosenbaum and D. H. Lehmer", title = "Problems and Solutions: Elementary Problems: Problems for Solution: {E315}--{E320}", journal = j-AMER-MATH-MONTHLY, volume = "45", number = "2", pages = "117--118", month = feb, year = "1938", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Alfieri:1938:PSEd,Cheney:1938:PSEc,Court:1938:PSEc,Lehmer:1939:PSE,Rosenbaum:1938:PSEb,Trevor:1938:PSEb}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Ayres:1938:PSA, author = "Frank {Ayres, Jr.} and Emma Lehmer", title = "Problems and Solutions: Advanced Problems: 3803", journal = j-AMER-MATH-MONTHLY, volume = "45", number = "9", pages = "633--634", month = nov, year = "1938", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:05 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Lehmer:1936:PSA}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Finkel:1938:PSE, author = "Daniel Finkel and Emma Lehmer", title = "Problems and Solutions: Elementary Problems: Solutions: {E300}", journal = j-AMER-MATH-MONTHLY, volume = "45", number = "5", pages = "320--321", month = may, year = "1938", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:55 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Thebault:1937:PSEl}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1938:ARa, author = "D. H. Lehmer", title = "On Arccotangent Relations for $ \pi $", journal = j-AMER-MATH-MONTHLY, volume = "45", number = "10", pages = "657--664", month = dec, year = "1938", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2302434", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1524440", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1938:ASM, author = "D. H. Lehmer", title = "An application of {Schl{\"a}fli}'s modular equation to a conjecture of {Ramanujan}", journal = j-BULL-AMS, volume = "44", number = "2", pages = "84--90", year = "1938", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1938-06690-6", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "DML", MRnumber = "1563687", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Lehmer:1938:CAC, author = "D. H. Lehmer", title = "A cotangent analogue of continued fractions", journal = j-DUKE-MATH-J, volume = "4", number = "2", pages = "323--340", year = "1938", CODEN = "DUMJAO", DOI = "https://doi.org/10.1215/S0012-7094-38-00424-7", ISSN = "0012-7094 (print), 1547-7398 (electronic)", ISSN-L = "0012-7094", MRclass = "DML", MRnumber = "1546053", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Duke Mathematical Journal", journal-URL = "http://projecteuclid.org/info/euclid.dmj", } @Article{Lehmer:1938:EAL, author = "D. H. Lehmer", title = "{Euclid}'s Algorithm for Large Numbers", journal = j-AMER-MATH-MONTHLY, volume = "45", number = "4", pages = "227--233", year = "1938", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2302607", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1524250", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1938:PSA, author = "D. H. Lehmer and M. T. Bird", title = "Problems and Solutions: Advanced Problems: 3802", journal = j-AMER-MATH-MONTHLY, volume = "45", number = "9", pages = "632--633", month = nov, year = "1938", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:05 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Lehmer:1936:PSA}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1938:PSE, author = "D. H. Lehmer", title = "Problems and Solutions: Elementary Problems: Solutions: {Euclid}'s Algorithm for Large Numbers", journal = j-AMER-MATH-MONTHLY, volume = "45", number = "4", pages = "227--233", month = apr, year = "1938", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:53 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1938:PSS, author = "D. H. Lehmer and M. A. Heaslet", title = "Problems and Solutions: Solutions: 3801", journal = j-AMER-MATH-MONTHLY, volume = "45", number = "9", pages = "636--637", month = nov, year = "1938", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:05 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Lehmer:1936:PSA}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1938:SPF, author = "D. H. Lehmer", title = "On the series for the partition function", journal = j-TRANS-AM-MATH-SOC, volume = "43", number = "2", pages = "271--295", year = "1938", CODEN = "TAMTAM", DOI = "https://doi.org/10.2307/1990043", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "11P82", MRnumber = "1501943", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", } @Article{Erdos:1939:PSAb, author = "Paul Erd{\H{o}}s and Emma Lehmer", title = "Problems and Solutions: Advanced Problems: 3820", journal = j-AMER-MATH-MONTHLY, volume = "46", number = "4", pages = "240--241", month = apr, year = "1939", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Erdos:1937:PSAa}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @TechReport{Lehmer:1939:FS, author = "D. H. Lehmer", title = "Factor Stencils", type = "Report", institution = "Carnegie Institution of Washington", address = "Washington, DC, USA", year = "1939", bibdate = "Thu Nov 02 15:59:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, remark = "Describes a punched card system with photoelectric sensors for identifying primes, processing about 300,000 numbers per minute. A fully electronic version in 1965 processed 1,000,000 numbers per second. See \cite[page 273]{Goldstine:1993:CPN}.", } @Article{Lehmer:1939:FTA, author = "D. H. Lehmer", title = "A factorization theorem applied to a test for primality", journal = j-BULL-AMS, volume = "45", number = "2", pages = "132--137", year = "1939", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1939-06917-6", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "DML", MRnumber = "1563926", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Lehmer:1939:NAC, author = "D. H. Lehmer", title = "Note on an Absolute Constant of {Khintchine}", journal = j-AMER-MATH-MONTHLY, volume = "46", number = "3", pages = "148--152", month = mar, year = "1939", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2302463", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "DML", MRnumber = "1524526", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1939:PSA, author = "Emma Lehmer", title = "Problems and Solutions: Advanced Problems: 3833", journal = j-AMER-MATH-MONTHLY, volume = "46", number = "8", pages = "516--517", month = oct, year = "1939", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:26 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Wallace:1937:PSA}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1939:PSE, author = "D. H. Lehmer and K. W. Miller", title = "Problems and Solutions: Elementary Problems: Solutions: {E320}", journal = j-AMER-MATH-MONTHLY, volume = "46", number = "1", pages = "49--52", month = jan, year = "1939", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:10 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1930.bib", note = "See also \cite{Alfieri:1938:PSEa}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1939:RCS, author = "D. H. Lehmer", title = "On the remainders and convergence of the series for the partition function", journal = j-TRANS-AM-MATH-SOC, volume = "46", pages = "362--373", year = "1939", CODEN = "TAMTAM", DOI = "https://doi.org/10.2307/1989927", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "10.0X", MRnumber = "410", MRreviewer = "H. Rademacher", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", } @Article{Lehmer:1940:LPD, author = "D. H. Lehmer", title = "The lattice points of an $n$-dimensional tetrahedron", journal = j-DUKE-MATH-J, volume = "7", pages = "341--353", year = "1940", CODEN = "DUMJAO", ISSN = "0012-7094 (print), 1547-7398 (electronic)", ISSN-L = "0012-7094", MRclass = "10.0X", MRnumber = "3013", MRreviewer = "D. C. Spencer", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://projecteuclid.org/euclid.dmj/1077492260", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Duke Mathematical Journal", journal-URL = "http://projecteuclid.org/info/euclid.dmj", } @Article{Lehmer:1940:MMB, author = "D. H. Lehmer", title = "On the Maxima and Minima of {Bernoulli} Polynomials", journal = j-AMER-MATH-MONTHLY, volume = "47", number = "8", pages = "533--538", month = oct, year = "1940", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2303833", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "33.0X", MRnumber = "2378", MRreviewer = "W. E. Milne", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Rufus:1940:PSEa, author = "W. C. Rufus and V. Th{\'e}bault and A. Gloden and Ruth Mason Ballard and Emma Lehmer", title = "Problems and Solutions: Elementary Problems: Problems for Solution: {E425}--{E429}, {E407}, {E409}", journal = j-AMER-MATH-MONTHLY, volume = "47", number = "6", pages = "395--396", month = jun # "\slash " # jul, year = "1940", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:35:55 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib", note = "See also \cite{Segal:1940:PSEa}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Browne:1941:PSEa, author = "D. H. Browne and V. Th{\'e}bault and N. A. Court and Emma Lehmer and L. S. Johnston", title = "Problems and Solutions: Elementary Problems: Problems for Solution: {E461}--{E465}", journal = j-AMER-MATH-MONTHLY, volume = "48", number = "3", pages = "210--210", month = mar, year = "1941", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:36:12 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib", note = "See also \cite{Browne:1941:PSEb,Court:1942:PSEa,Johnston:1942:PSE,Lehmer:1942:PSE,Thebault:1941:PSEk}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1941:BRR, author = "D. H. Lehmer", title = "Book Review: {{\booktitle{Ramanujan. Twelve lectures on subjects suggested by his life and work}}. By G. H. Hardy. 236 pp. Cambridge: at the University Press, 1940. New York: The Macmillan Company, 1941. \$6.00}", journal = j-SCIENCE, volume = "92", number = "2426", pages = "620--621", day = "27", month = jun, year = "1941", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.93.2426.620", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Mon Jan 31 10:31:58 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @Article{Lehmer:1941:FCF, author = "D. H. Lehmer and Emma Lehmer", title = "On the first case of {Fermat's Last Theorem}", journal = j-BULL-AMS, volume = "47", pages = "139--142", year = "1941", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1941-07393-3", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "10.0X", MRnumber = "3657", MRreviewer = "R. D. James", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Book{Lehmer:1941:GTT, author = "Derrick Henry Lehmer", title = "Guide to Tables in the Theory of Numbers", publisher = "National Research Council", address = "Washington, DC, USA", pages = "xiv + 177", year = "1941", MRclass = "10.0X", MRnumber = "0003625", MRreviewer = "R. D. Carmichael", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", series = "Bulletin of the National Research Council, No. 105", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Lehmer:1941:NLD, author = "D. H. Lehmer", title = "A Note on the Linear {Diophantine} Equation", journal = j-AMER-MATH-MONTHLY, volume = "48", number = "4", pages = "240--246", month = apr, year = "1941", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2302718", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "10.0X", MRnumber = "3635", MRreviewer = "R. D. James", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1941:PSE, author = "Emma Lehmer and E. P. Starke", title = "Problems and Solutions: Elementary Problems: {E429}", journal = j-AMER-MATH-MONTHLY, volume = "48", number = "3", pages = "212--212", month = mar, year = "1941", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:36:12 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1942:PCM, author = "D. H. Lehmer", title = "Properties of the coefficients of the modular invariant {$ J(\tau) $}", journal = j-AM-J-MATH, volume = "64", pages = "488--502", year = "1942", CODEN = "AJMAAN", DOI = "https://doi.org/10.2307/2371699", ISSN = "0002-9327 (print), 1080-6377 (electronic)", ISSN-L = "0002-9327", MRclass = "10.0X", MRnumber = "6210", MRreviewer = "H. S. Zuckerman", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Journal of Mathematics", } @Article{Lehmer:1942:PSE, author = "Emma Lehmer", title = "Problems and Solutions: Elementary Problems: {E464}", journal = j-AMER-MATH-MONTHLY, volume = "49", number = "2", pages = "121--122", month = feb, year = "1942", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:36:32 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib", note = "See also \cite{Browne:1941:PSEa}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1943:RF, author = "D. H. Lehmer", title = "{Ramanujan}'s function $ \tau (n) $", journal = j-DUKE-MATH-J, volume = "10", pages = "483--492", year = "1943", CODEN = "DUMJAO", ISSN = "0012-7094 (print), 1547-7398 (electronic)", ISSN-L = "0012-7094", MRclass = "10.0X", MRnumber = "8619", MRreviewer = "H. S. Zuckerman", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://projecteuclid.org/euclid.dmj/1077472092", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Duke Mathematical Journal", journal-URL = "http://projecteuclid.org/info/euclid.dmj", } @Article{Lehmer:1943:RFC, author = "D. H. Lehmer", title = "Recurrence formulas for certain divisor functions", journal = j-BULL-AMS, volume = "49", pages = "150--156", year = "1943", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1943-07880-9", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "10.0X", MRnumber = "7757", MRreviewer = "R. D. James", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Lehmer:1943:TMP, author = "D. H. Lehmer", title = "Tables to Many Places of Decimals", journal = j-MATH-TABLES-OTHER-AIDS-COMPUT, volume = "1", number = "1", pages = "30--31", year = "1943", CODEN = "MTTCAS", ISSN = "0891-6837", bibdate = "Mon Jan 31 10:50:30 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematical Tables and Other Aids to Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehmer:1944:ITP, author = "Emma Lehmer", title = "Inverse Tables of Probabilities of Errors of the Second Kind", journal = j-ANN-MATH-STAT, volume = "15", number = "4", pages = "388--398", month = dec, year = "1944", CODEN = "AASTAD", DOI = "https://doi.org/10.1214/aoms/1177731209", ISSN = "0003-4851 (print), 2168-8990 (electronic)", ISSN-L = "0003-4851", MRclass = "62.0X", MRnumber = "0011411 (6,161h)", MRreviewer = "J. Wolfowitz", bibdate = "Sat May 31 09:10:32 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/annmathstat.bib", URL = "http://projecteuclid.org/euclid.aoms/1177731209", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Annals of Mathematical Statistics", journal-URL = "http://projecteuclid.org/all/euclid.aoms/", } @Article{Lehmer:1944:NCB, author = "Derrick Henry Lehmer", title = "Note on the Computation of the {Bessel} Function {$ I_n(X) $}", journal = j-MATH-TABLES-OTHER-AIDS-COMPUT, volume = "1", number = "5", pages = "133--135", month = apr, year = "1944", CODEN = "MTTCAS", DOI = "https://doi.org/10.1090/S0025-5718-44-99053-8", ISSN = "0891-6837 (print), 2326-4853 (electronic)", ISSN-L = "0891-6837", bibdate = "Tue Oct 13 08:44:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematical Tables and Other Aids to Computation", journal-URL = "http://www.ams.org/mcom/", remark = "Original journal has only `D. H. L.' as author: probably D. H. Lehmer. AMS metadata now shows the full name.", } @Article{Wall:1944:PSA, author = "H. S. Wall and R. C. Buck and D. H. Lehmer", title = "Problems and Solutions: Advanced Problems: 4067", journal = j-AMER-MATH-MONTHLY, volume = "51", number = "6", pages = "353--355", month = jun # "\slash " # jul, year = "1944", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:37:27 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib", note = "See also \cite{Erdos:1943:PSAa}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1945:GPA, author = "D. H. Lehmer", title = "The {Graeffe} process as applied to power series", journal = j-MATH-TABLES-OTHER-AIDS-COMPUT, volume = "1", number = "10", pages = "377--383", month = apr, year = "1945", CODEN = "MTTCAS", ISSN = "0891-6837 (print), 2326-4853 (electronic)", ISSN-L = "0891-6837", MRclass = "65.0X", MRnumber = "7,84a; 12913", MRreviewer = "M. Marden", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1940.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematical Tables and Other Aids to Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Browne:1946:PSEa, author = "D. H. Browne and Victor Th{\'e}bault and M. P. de Regt and N. A. Court and D. H. Lehmer", title = "Problems and Solutions: Elementary Problems: Problems for Solution: {E706}--{E710}", journal = j-AMER-MATH-MONTHLY, volume = "53", number = "2", pages = "97--97", month = feb, year = "1946", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:04 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib", note = "See also \cite{Browne:1946:PSEc,Court:1946:PSEb,deRegt:1946:PSS,Lehmer:1946:PSE,Thebault:1946:PSSb}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1946:PSE, author = "D. H. Lehmer and D. M. Smiley and M. F. Smiley and John Williamson", title = "Problems and Solutions: Elementary Problems: {E710}", journal = j-AMER-MATH-MONTHLY, volume = "53", number = "9", pages = "534--535", month = nov, year = "1946", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:19 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib", note = "See also \cite{Browne:1946:PSEa}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1946:TNT, author = "D. H. Lehmer", title = "Two nonexistence theorems on partitions", journal = j-BULL-AMS, volume = "52", pages = "538--544", year = "1946", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1946-08605-X", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "10.0X", MRnumber = "16072", MRreviewer = "T. Estermann", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Lehmer:1947:F, author = "D. H. Lehmer", title = "On the factors of $ 2^n \pm 1 $", journal = j-BULL-AMS, volume = "53", pages = "164--167", year = "1947", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1947-08774-7", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "10.0X", MRnumber = "19635", MRreviewer = "N. G. W. H. Beeger", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Lehmer:1947:TEP, author = "D. H. Lehmer", title = "The {Tarry--Escott} problem", journal = j-SCRIPTA-MATH, volume = "13", pages = "37--41", year = "1947", ISSN = "0036-9713", MRclass = "10.0X", MRnumber = "21550", MRreviewer = "N. G. W. H. Beeger", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/scripta-math.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Scripta Mathematica", } @Article{Lehmer:1947:VRF, author = "D. H. Lehmer", title = "The vanishing of {Ramanujan}'s function $ \tau (n) $", journal = j-DUKE-MATH-J, volume = "14", pages = "429--433", year = "1947", CODEN = "DUMJAO", ISSN = "0012-7094 (print), 1547-7398 (electronic)", ISSN-L = "0012-7094", MRclass = "10.0X", MRnumber = "21027", MRreviewer = "R. A. Rankin", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://projecteuclid.org/euclid.dmj/1077474140", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Duke Mathematical Journal", journal-URL = "http://projecteuclid.org/info/euclid.dmj", } @Article{Olds:1947:PSE, author = "C. D. Olds and D. H. Lehmer", title = "Problems and Solutions: Elementary Problems: Solutions: {E760}", journal = j-AMER-MATH-MONTHLY, volume = "54", number = "8", pages = "478--478", month = oct, year = "1947", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:39 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib", note = "See also \cite{Olds:1947:EPS}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1948:APS, author = "Emma Lehmer", title = "Advanced Problems and Solutions: Problems for Solution: 4307", journal = j-AMER-MATH-MONTHLY, volume = "55", number = "7", pages = "431--432", month = aug # "\slash " # sep, year = "1948", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib", note = "See also \cite{Erdos:1962:APS,Goormaghtigh:1950:APSb,Lehmer:1950:APS,Sandham:1950:APSb,Wall:1950:APSb}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", xxnote = "Check pages??", } @Article{Lehmer:1948:CK, author = "D. H. Lehmer", title = "A conjecture of {Krishnaswami}", journal = j-BULL-AMS, volume = "54", pages = "1185--1190", year = "1948", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1948-09147-9", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "10.0X", MRnumber = "28333", MRreviewer = "W. H. Simons", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Lehmer:1948:PNS, author = "D. H. Lehmer", title = "On the Partition of Numbers into Squares", journal = j-AMER-MATH-MONTHLY, volume = "55", number = "8", pages = "476--481", month = oct, year = "1948", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2305380", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "10.0X", MRnumber = "26661", MRreviewer = "T. Estermann", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Courter:1949:PQ, author = "G. W. Courter and W. R. Talbot and G. B. Knight and C. N. Mills and D. H. Lehmer and Leo Moser and Norman Anning and Victor Thebault and O. J. Ramler and Pedro A. Piza and Raymond L. Krueger", title = "Problems and Questions", journal = j-MATH-MAG, volume = "23", number = "1", pages = "33--37", year = "1949", CODEN = "MAMGA8", ISSN = "0025-570X", bibdate = "Mon Jan 31 10:50:30 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://www.jstor.org/stable/3219263", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematics Magazine", journal-URL = "http://www.maa.org/pubs/mathmag.html", } @Article{Lehmer:1949:BRE, author = "D. H. Lehmer", title = "Book Review: {{\booktitle{Eleven and fifteen-place tables of Bessel functions of the first kind, to all significant orders}} by Enzo Cambi, New York. Dover Publications, 1948. vi + 154 p. \$3.95}", journal = j-QUART-APPL-MATH, volume = "7", number = "2", pages = "238--239", month = jul, year = "1949", CODEN = "QAMAAY", ISSN = "0033-569X (print), 1552-4485 (electronic)", ISSN-L = "0033-569X", bibdate = "Mon Jan 31 10:50:30 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://www.jstor.org/stable/43633371", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Quarterly of Applied Mathematics", journal-URL = "http://dl.acm.org/citation.cfm?id=J641; http://www.ams.org/journals/qam", reviewed-author = "Enzo Cambi", } @Article{Lehmer:1949:CFT, author = "D. H. Lehmer", title = "On the converse of {Fermat's Theorem}. {II}", journal = j-AMER-MATH-MONTHLY, volume = "56", number = "5", pages = "300--309", month = may, year = "1949", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2306041", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "10.0X", MRnumber = "29925", MRreviewer = "N. G. W. H. Beeger", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1940.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1950:AAD, author = "D. H. Lehmer", title = "Approximations to the area of an $n$-dimensional ellipsoid", journal = j-CAN-J-MATH, volume = "2", number = "??", pages = "267--282", month = "????", year = "1950", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/cjm-1950-024-2", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "48.0X", MRnumber = "36013; 0036013 (12,45g)", MRreviewer = "P. Franklin", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "http://cms.math.ca/cjm/v2/; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/canjmath.bib; https://www.math.utah.edu/pub/tex/bib/canjmath1950.bib; MathSciNet database", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @Article{Lehmer:1950:APS, author = "Emma Lehmer and Martin Kneser", title = "Advanced Problems and Solutions: 4307", journal = j-AMER-MATH-MONTHLY, volume = "57", number = "4", pages = "269--269", month = apr, year = "1950", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:35:53 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1950.bib", note = "See also \cite{Sandham:1948:APSc}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @InProceedings{Lehmer:1951:MML, author = "D. H. Lehmer", booktitle = "{Proceedings of a Second Symposium on Large-Scale Digital Calculating Machinery, 1949}", title = "Mathematical methods in large-scale computing units", crossref = "Anonymous:1951:PSS", pages = "141--146", year = "1951", MRclass = "65.0X", MRnumber = "0044899 (13,495f)", MRreviewer = "R. Hamming", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", URL = "http://archive.org/stream/proceedings_of_a_second_symposium_on_large-scale_/Proceedings_of_a_Second_Symposium_on_Large-Scale_Digital_Calculating_Machinery_Sep49_djvu.txt", abstract = "The aim of this paper is to discuss in a general way certain features of the mathematics that are characteristic of the large scale digital computing machines. Special attention is given to the problem of generating random numbers. The author's proposal for generating a sequence of ``random'' 8 decimal numbers $ u_n $ is to start with some number $ u_0 \neq 0 $, multiply it by 23, and subtract the two digit overflow on the left from the two right hand digits to obtain a new number $ u_1 $. By repeating this process he generates a sequence $ u_n $ which he shows has a repetition period of 5,882,352. An IBM 602A was used to generate 5000 numbers of such a sequence. Four standard tests (unspecified) were applied to check the ``randomness'' and the sequence passed all four. The author observes, however, that all of the members of the sequence he chose were divisible by 17.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", HDnumber = "67", xxauthor = "D. H. (Derrick Henry) Lehmer", } @Article{Lehmer:1951:RFR, author = "D. H. Lehmer", title = "{Ramanujan}'s function with respect to the modulus $ 49 $", journal = "Proc. Nat. Inst. Sci. India", volume = "17", pages = "67--70", year = "1951", ISSN = "0370-0860", MRclass = "10.0X", MRnumber = "43127", MRreviewer = "L. Schoenfeld", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Proceedings of the National Institute of Sciences of India", } @Article{Lehmer:1951:TNF, author = "D. H. Lehmer", title = "A triangular number formula for the partition function", journal = j-SCRIPTA-MATH, volume = "17", pages = "17--19", year = "1951", ISSN = "0036-9713", MRclass = "10.0X", MRnumber = "41869", MRreviewer = "N. J. Fine", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/scripta-math.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Scripta Mathematica", } @Article{Lehmer:1953:RDS, author = "Emma Lehmer", title = "On residue difference sets", journal = j-CAN-J-MATH, volume = "5", number = "??", pages = "425--432", month = "????", year = "1953", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1953-047-3", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "10.0X", MRnumber = "0056007 (15,10d)", MRreviewer = "H. B. Mann", bibdate = "Sat Sep 10 15:38:26 MDT 2011", bibsource = "http://cms.math.ca/cjm/v5/; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/canjmath.bib; https://www.math.utah.edu/pub/tex/bib/canjmath1950.bib; MathSciNet database", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @Article{Lehmer:1953:SPA, author = "D. H. Lehmer", title = "The sieve problem for all-purpose computers", journal = j-MATH-TABLES-OTHER-AIDS-COMPUT, volume = "7", pages = "6--14", year = "1953", CODEN = "MTTCAS", ISSN = "0891-6837", MRclass = "65.0X", MRnumber = "52876", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematical Tables and other Aids to Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehmer:1953:TNM, author = "D. H. Lehmer", title = "Two New {Mersenne} Primes", journal = j-MATH-TABLES-OTHER-AIDS-COMPUT, volume = "7", number = "41", pages = "72--72", month = jan, year = "1953", CODEN = "MTTCAS", DOI = "https://doi.org/10.1090/S0025-5718-53-99371-5", ISSN = "0891-6837 (print), 2326-4853 (electronic)", ISSN-L = "0891-6837", bibdate = "Thu Feb 08 16:52:44 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematical Tables and Other Aids to Computation", journal-URL = "http://www.ams.org/mcom/", remark = "This 7-line note reports the discovery of Mersenne primes of the form $ 2^n - 1 $ for $ n = 2203 $ and $ n = 2281 $ on the SWAC computer on 7 and 9 October 1952. It finishes with ``This makes 17 Mersenne primes, and a corresponding number of perfect numbers, now known. They are $ 2^n 1 $ for $ n = 2, 3, 5, 7, 13, 17, 19, 31, 61, 107, 127, 521, 607, 1279, 2203 $, and $ 2281 $.''", } @Article{Lehmer:1954:AHS, author = "D. H. Lehmer and Emma Lehmer and H. S. Vandiver", title = "An application of high-speed computing to {Fermat's Last Theorem}", journal = j-PROC-NATL-ACAD-SCI-USA, volume = "40", pages = "25--33", year = "1954", CODEN = "PNASA6", DOI = "https://doi.org/10.1073/pnas.40.1.25", ISSN = "0027-8424 (print), 1091-6490 (electronic)", ISSN-L = "0027-8424", MRclass = "10.0X", MRnumber = "61128", MRreviewer = "R. Bellman", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Proceedings of the National Academy of Sciences of the United States of America", journal-URL = "http://www.pnas.org/content/by/year", } @Article{Lehmer:1954:CNO, author = "Emma Lehmer", title = "On the cyclotomic numbers of order sixteen", journal = j-CAN-J-MATH, volume = "6", number = "??", pages = "449--454", month = "????", year = "1954", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1954-046-1", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", bibdate = "Sat Sep 10 15:38:26 MDT 2011", bibsource = "http://cms.math.ca/cjm/v6/; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/canjmath1950.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @Article{Lehmer:1954:DRN, author = "D. H. Lehmer", title = "Description of {``Random} number generation on the {BRL} high-speed computing machines''", journal = j-MATH-REV, volume = "15", number = "??", pages = "559--559", month = "????", year = "1954", CODEN = "MAREAR", ISSN = "0025-5629", bibdate = "Mon Jan 23 18:01:23 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematical Reviews", } @Article{Lehmer:1954:SPP, author = "D. H. Lehmer", title = "A sieve problem on``pseudo-squares.''", journal = j-MATH-TABLES-OTHER-AIDS-COMPUT, volume = "8", pages = "241--242", year = "1954", CODEN = "MTTCAS", ISSN = "0891-6837", MRclass = "10.0X", MRnumber = "63388", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematical Tables and other Aids to Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Carlitz:1955:APSb, author = "Leonard Carlitz and Emma Lehmer", title = "Advanced Problems and Solutions: Solutions: 4599", journal = j-AMER-MATH-MONTHLY, volume = "62", number = "9", pages = "665--665", month = nov, year = "1955", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:02 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1950.bib", note = "See also \cite{Schoenberg:1954:APS}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Golomb:1955:APS, author = "S. W. Golomb and D. H. and Emma Lehmer", title = "Advanced Problems and Solutions: 4593", journal = j-AMER-MATH-MONTHLY, volume = "62", number = "8", pages = "590--591", month = oct, year = "1955", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:37:59 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1950.bib", note = "See also \cite{Golomb:1954:APS}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1955:APS, author = "Emma Lehmer", title = "Advanced Problems and Solutions: Problems for Solution: 4636", journal = j-AMER-MATH-MONTHLY, volume = "62", number = "4", pages = "258--259", month = apr, year = "1955", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:37:50 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1950.bib", note = "See also \cite{Babbitt:1956:APS,Briggs:1956:APS,Lehmer:1956:APS,Wang:1956:APS,Weissblum:1956:APS}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", xxnote = "Check pages??", } @Article{Lehmer:1955:DT, author = "D. H. Lehmer", title = "The distribution of totatives", journal = j-CAN-J-MATH, volume = "7", number = "??", pages = "347--357", month = "????", year = "1955", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1955-038-5", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "10.0X", MRnumber = "69199", MRreviewer = "N. G. de Bruijn", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "http://cms.math.ca/cjm/v7/; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/canjmath1950.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @Article{Lehmer:1956:APS, author = "Emma Lehmer and Leonard Carlitz", title = "Advanced Problems and Solutions: 4636", journal = j-AMER-MATH-MONTHLY, volume = "63", number = "8", pages = "584--587", month = oct, year = "1956", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:22 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1950.bib", note = "See also \cite{Weissblum:1955:APS}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1956:CCM, author = "D. H. Lehmer", title = "On certain character matrices", journal = j-PAC-J-MATH, volume = "6", pages = "491--499", year = "1956", CODEN = "PJMAAI", ISSN = "0030-8730 (print), 1945-5844 (electronic)", ISSN-L = "0030-8730", MRclass = "15.0X", MRnumber = "85220", MRreviewer = "W. Ledermann", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://projecteuclid.org/euclid.pjm/1103043966", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Pacific Journal of Mathematics", journal-URL = "http://msp.org/pjm", } @Article{Lehmer:1956:DE, author = "D. H. Lehmer", title = "On the {Diophantine} equation $ x^3 + y^3 + z^3 = 1 $", journal = j-J-LOND-MATH-SOC, volume = "31", pages = "275--280", year = "1956", CODEN = "JLMSAK", DOI = "https://doi.org/10.1112/jlms/s1-31.3.275", ISSN = "0024-6107 (print), 1469-7750 (electronic)", ISSN-L = "0024-6107", MRclass = "10.1X", MRnumber = "78397", MRreviewer = "N. G. de Bruijn", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "The Journal of the London Mathematical Society", journal-URL = "http://jlms.oxfordjournals.org/content/by/year", } @Article{Lehmer:1956:ECR, author = "D. H. Lehmer", title = "Extended computation of the {Riemann} zeta-function", journal = j-MATHEMATIKA, volume = "3", pages = "102--108", year = "1956", CODEN = "MTKAAB", DOI = "https://doi.org/10.1112/S0025579300001753", ISSN = "0025-5793", MRclass = "10.1X", MRnumber = "86083", MRreviewer = "L. Schoenfeld", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematika. A Journal of Pure and Applied Mathematics", journal-URL = "https://www.cambridge.org/core/journals/mathematika/all-issues", } @InCollection{Lehmer:1956:HSC, author = "Derrick H. Lehmer", title = "High-Speed Computing Devices and Their Applications", crossref = "Beckenbach:1956:MME", chapter = "19", pages = "??--??", year = "1956", bibdate = "Fri Oct 27 07:33:05 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Lehmer:1956:LGS, author = "Emma Lehmer", title = "On the Location of {Gauss} Sums", journal = j-MATH-TABLES-OTHER-AIDS-COMPUT, volume = "10", number = "56", pages = "194--202", month = oct, year = "1956", CODEN = "MTTCAS", ISSN = "0891-6837 (print), 2326-4853 (electronic)", ISSN-L = "0891-6837", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematical Tables and Other Aids to Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehmer:1956:RRZ, author = "D. H. Lehmer", title = "On the roots of the {Riemann} zeta-function", journal = j-ACTA-MATH, volume = "95", number = "1", pages = "291--298", month = dec, year = "1956", CODEN = "ACMAA8", DOI = "https://doi.org/10.1007/BF02401102", ISSN = "0001-5962 (print), 1871-2509 (electronic)", ISSN-L = "0001-5962", MRclass = "10.1X", MRnumber = "86082; 0086082 (19,121a)", MRreviewer = "L. Schoenfeld", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Acta Mathematica", journal-URL = "http://link.springer.com/journal/11511", remark-1 = "See \cite[references 38--39, page 54]{Bullynck:2015:CPT} for Turing's role in this work, published two years after Turing's death in 1954. Turing's incomplete work appears in \cite{Turing:1953:SCR}.", remark-2 = "From page 293: ``Plans to extend the work of Titchmarsh [on the zeros of the Riemann zeta function] by use of a differential analyzer were made in 1939 by the late A. M. Turing. These were interrupted by the war and later rendered obsolete by the advent of the electronic digital computers.''", remark-3 = "From page 293: ``In 1947 the writer programmed an extension of the work of Titchmarsh [on the zeros of the Riemann zeta function] for the ENIAC, the only electronic computer then in operation. However, before the program could be run, the ENIAC was drastically modified thus rendering it useless for the problem.''", remark-4 = "From page 293: ``In June 1950, Turing used the Manchester University Mark 1 electronic digital computer to examine the zeta-function for $24,937.96 < t < 25,735.93$ (that is for $63 < \sqrt{\tau} < 6.4$) and found in this region of the critical strip that there are about 1070 simple zeros all with $a = 1/2$. In another short run the validity of the Riemann Hypothesis was verified between Titchmarsh's upper limit of $t = 1468$ and $t = 1540$. Only some twenty hours of machine time was used. Unfortunately no further time was made available and these incomplete results were published in 1953.''", } @Article{Lehmer:1957:APS, author = "D. H. Lehmer and D. C. Russell", title = "Advanced Problems and Solutions: 4675", journal = j-AMER-MATH-MONTHLY, volume = "64", number = "2", pages = "122--123", month = feb, year = "1957", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:31 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1950.bib", note = "See also \cite{Erdos:1956:APS}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1957:CNL, author = "D. H. Lehmer", title = "Classroom Notes: {A} Low Energy Proof of the Reciprocity Law", journal = j-AMER-MATH-MONTHLY, volume = "64", number = "2", pages = "103--106", month = feb, year = "1957", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:31 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1950.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1957:CNS, author = "Emma Lehmer and H. S. Vandiver", title = "On the Computation of the Number of Solutions of Certain Trinomial Congruences", journal = j-J-ACM, volume = "4", number = "4", pages = "505--510", month = oct, year = "1957", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Mon Dec 05 20:10:03 1994", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/jacm.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Journal of the Association for Computing Machinery", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", } @Article{Lehmer:1957:LEP, author = "D. H. Lehmer", title = "A low energy proof of the reciprocity law", journal = j-AMER-MATH-MONTHLY, volume = "64", pages = "103--106", year = "1957", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2310391", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "10.0X", MRnumber = "82992", MRreviewer = "I. A. Barnett", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1957:SCR, author = "D. H. Lehmer", title = "Sorting Cards with Respect to a Modulus", journal = j-J-ACM, volume = "4", number = "1", pages = "41--46", month = jan, year = "1957", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Mon Dec 05 19:59:49 1994", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/jacm.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Journal of the Association for Computing Machinery", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", } @InProceedings{Lehmer:1959:CPD, author = "D. H. Lehmer", title = "Combinatorial problems with digital computers", crossref = "Macphail:1959:PFC", pages = "160--173", year = "1959", bibdate = "Mon Jun 27 15:08:42 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", HDnumber = "68", } @Article{Lehmer:1959:ENP, author = "D. H. Lehmer", title = "On the exact number of primes less than a given limit", journal = j-ILL-J-MATH, volume = "3", pages = "381--388", year = "1959", CODEN = "IJMTAW", ISSN = "0019-2082 (print), 1945-6581 (electronic)", ISSN-L = "0019-2082", MRclass = "10.00", MRnumber = "106883", MRreviewer = "T. Estermann", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://projecteuclid.org/euclid.ijm/1255455259", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Illinois Journal of Mathematics", } @Article{Lehmer:1959:MM, author = "D. H. Lehmer", title = "{Mahler}'s matrices", journal = j-J-AUSTRALIAN-MATH-SOC, volume = "1", pages = "385--395", year = "1959/1960", CODEN = "JAUMAX", ISSN = "0263-6115 (print), 2396-8192 (electronic)", MRclass = "10.05", MRnumber = "0124259", MRreviewer = "O. Taussky-Todd", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Australian Mathematical Society. Journal. Series A. Pure Mathematics and Statistics", } @Article{Lehmer:1959:PHL, author = "D. H. Lehmer", title = "On a problem of {Hardy} and {Littlewood}", journal = j-J-LOND-MATH-SOC, volume = "34", pages = "395--396; 485", year = "1959", CODEN = "JLMSAK", DOI = "https://doi.org/10.1112/jlms/s1-34.4.395", ISSN = "0024-6107 (print), 1469-7750 (electronic)", ISSN-L = "0024-6107", MRclass = "42.00", MRnumber = "111985", MRreviewer = "K. Chandrasekharan", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "The Journal of the London Mathematical Society", journal-URL = "http://jlms.oxfordjournals.org/content/by/year", } @Article{Lehmer:1959:SFR, author = "D. H. Lehmer", title = "Some functions of {Ramanujan}", journal = j-MATH-STUDENT, volume = "27", pages = "105--116", year = "1959", CODEN = "MTHSBH", ISSN = "0025-5742", MRclass = "10.43", MRnumber = "131412", MRreviewer = "S. Chowla", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "The Mathematics Student", } @Article{Lehmer:1960:CKS, author = "D. H. Lehmer and Emma Lehmer", title = "On the cubes of {Kloosterman} sums", journal = j-ACTA-ARITHMETICA, volume = "6", pages = "15--22", year = "1960", CODEN = "AARIA9", DOI = "https://doi.org/10.4064/aa-6-1-15-22", ISSN = "0065-1036 (print), 1730-6264 (electronic)", ISSN-L = "0065-1036", MRclass = "10.00", MRnumber = "115976", MRreviewer = "A. L. Whiteman", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica", journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all", } @InProceedings{Lehmer:1960:DVM, author = "D. H. Lehmer", booktitle = "{Proc. Internat. Congress Math. 1958}", title = "Discrete variable methods in numerical analysis", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "545--552", year = "1960", MRclass = "65.00 (42.00)", MRnumber = "0116451", MRreviewer = "C. B. Haselgrove", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Lehmer:1960:MM, author = "D. H. Lehmer", title = "{Mahler}'s Matrices", journal = j-J-AUSTRALIAN-MATH-SOC, volume = "1", pages = "385--395", year = "1960", CODEN = "JAUMAX", ISSN = "0004-9735 (print), 2059-9234 (electronic)", bibdate = "Mon Jan 31 10:50:30 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Journal of the Australian Mathematical Society", } @Article{Lehmer:1960:PCM, author = "D. H. Lehmer", title = "Power character matrices", journal = j-PAC-J-MATH, volume = "10", pages = "895--907", year = "1960", CODEN = "PJMAAI", ISSN = "0030-8730 (print), 1945-5844 (electronic)", ISSN-L = "0030-8730", MRclass = "10.00", MRnumber = "113853", MRreviewer = "L. Carlitz", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://projecteuclid.org/euclid.pjm/1103038238", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Pacific Journal of Mathematics", journal-URL = "http://msp.org/pjm", } @Article{Lehmer:1960:SIF, author = "D. H. Lehmer and S. Selberg", title = "A sum involving the function of {M{\"o}bius}", journal = j-ACTA-ARITHMETICA, volume = "6", pages = "111--114", year = "1960", CODEN = "AARIA9", DOI = "https://doi.org/10.4064/aa-6-1-111-114", ISSN = "0065-1036 (print), 1730-6264 (electronic)", ISSN-L = "0065-1036", MRclass = "10.00", MRnumber = "115965", MRreviewer = "A. L. Whiteman", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica", journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all", } @InProceedings{Lehmer:1960:TCT, author = "D. H. Lehmer", booktitle = "{Proc. Sympos. Appl. Math., Vol. 10}", title = "Teaching combinatorial tricks to a computer", publisher = pub-AMS, address = pub-AMS:adr, pages = "179--193", year = "1960", MRclass = "68.00", MRnumber = "0113289", MRreviewer = "A. D. Booth", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Lehmer:1961:BRF, author = "D. H. Lehmer", title = "Book Review: {{\booktitle{The First Six Million Prime Numbers}} by C. L. Baker and F. J. Gruenberger}", journal = j-MATH-COMPUT, volume = "15", number = "73", pages = "82--82", year = "1961", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2003096", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Jan 31 10:50:30 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://www.jstor.org/stable/2003096", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", reviewed-author = "C. L. Baker and F. J. Gruenberger", } @Book{Lehmer:1961:GTT, author = "Derrick Henry Lehmer", title = "Guide to tables in the theory of numbers", publisher = "National Research Council", address = "Washington, DC, USA", pages = "xiv + 177", year = "1961", MRclass = "10.02", MRnumber = "0141626", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", series = "Bulletin of the National Research Council, No. 105", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", remark = "Reprinted 1961.", } @Article{Lehmer:1961:MMS, author = "D. H. Lehmer", title = "A Machine Method for Solving Polynomial Equations", journal = j-J-ACM, volume = "8", number = "2", pages = "151--162", month = apr, year = "1961", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Mon Dec 05 20:05:26 1994", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/jacm.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Journal of the Association for Computing Machinery", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", keywords = "Lehmer's method; nlop; polynomial", } @InCollection{Lehmer:1962:HA, author = "D. H. Lehmer and Emma Lehmer", booktitle = "Studies in mathematical analysis and related topics", title = "Heuristics, anyone?", publisher = pub-STANFORD, address = pub-STANFORD:adr, pages = "202--210", year = "1962", MRclass = "10.08", MRnumber = "0144868", MRreviewer = "T. Estermann", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Lehmer:1962:MPT, author = "D. H. Lehmer and E. Lehmer and W. H. Mills and J. L. Selfridge", title = "Machine Proof of a Theorem on Cubic Residues", journal = j-MATH-COMPUT, volume = "16", number = "80", pages = "407--415", month = oct, year = "1962", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2003130", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10.06 (68.00)", MRnumber = "162379", MRreviewer = "S. Kuroda", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehmer:1962:RR, author = "D. H. Lehmer and Emma Lehmer", title = "On runs of residues", journal = j-PROC-AM-MATH-SOC, volume = "13", pages = "102--106", year = "1962", CODEN = "PAMYAR", DOI = "https://doi.org/10.2307/2033781", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "10.06", MRnumber = "138582", MRreviewer = "M. Cugiani", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Barrucand:1963:APS, author = "P. Barrucand and Emma Lehmer", title = "Advanced Problems and Solutions: Solutions: 5042", journal = j-AMER-MATH-MONTHLY, volume = "70", number = "7", pages = "770--771", month = aug # "\slash " # sep, year = "1963", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:37:11 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1960.bib", note = "See also \cite{Makowski:1962:APS}.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1963:CRS, author = "D. H. Lehmer", title = "The Complete Root-Squaring Method", journal = j-J-SIAM, volume = "11", number = "3", pages = "705--717", month = sep, year = "1963", CODEN = "JSIMAV", ISSN = "0368-4245 (print), 1095-712X (electronic)", MRclass = "65.50", MRnumber = "157481", MRreviewer = "W. J. Kotz\'{e}", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Journal of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/loi/smjmap.1", } @Article{Lehmer:1963:NPR, author = "D. H. Lehmer", title = "A note on primitive roots", journal = j-SCRIPTA-MATH, volume = "26", pages = "117--119", year = "1963", ISSN = "0036-9713", MRclass = "10.09", MRnumber = "149643", MRreviewer = "L. Carlitz", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/scripta-math.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Scripta Mathematica", } @Article{Lehmer:1963:PCP, author = "D. H. Lehmer and Emma Lehmer and W. H. Mills", title = "Pairs of consecutive power residues", journal = j-CAN-J-MATH, volume = "15", number = "??", pages = "172--177", month = "????", year = "1963", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1963-020-4", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "10.06", MRnumber = "146134", MRreviewer = "H. Klingen", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "http://cms.math.ca/cjm/v15/; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/canjmath1960.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @Article{Lehmer:1963:RDO, author = "D. H. Lehmer", title = "{R63--17} Division and Overflow Detection in Residue Number Systems", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-12", number = "1", pages = "36--37", month = feb, year = "1963", CODEN = "IEECA8", DOI = "https://doi.org/10.1109/PGEC.1963.263493", ISSN = "0367-7508", bibdate = "Thu Jul 14 08:10:36 MDT 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4037786; http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4037753; http://ieeexplore.ieee.org/xpl/tocresult.jsp?isnumber=4037754", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "IEEE Transactions on Electronic Computers", keywords = "residue arithmetic; residue number system", } @InProceedings{Lehmer:1963:SHS, author = "D. H. Lehmer", booktitle = "{Proc. Sympos. Appl. Math., Vol. XV}", title = "Some high-speed logic", publisher = pub-AMS, address = pub-AMS:adr, pages = "141--145", year = "1963", MRclass = "10.03", MRnumber = "0158509", MRreviewer = "W. R. Utz", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Brillhart:1964:BPC, author = "John Brillhart and D. H. Lehmer and Emma Lehmer", title = "Bounds for Pairs of Consecutive Seventh and Higher Power Residues", journal = j-MATH-COMPUT, volume = "18", number = "87", pages = "397--407", month = jul, year = "1964", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2003762", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10.06 (10.03)", MRnumber = "164923", MRreviewer = "W. H. Mills", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehmer:1964:IFP, author = "E. Lehmer", title = "On the Infinitude of {Fibonacci} Pseudo-Primes", journal = j-FIB-QUART, volume = "2", number = "3", pages = "229--??", month = oct, year = "1964", CODEN = "FIBQAU", ISSN = "0015-0517", ISSN-L = "0015-0517", bibdate = "Thu Oct 20 18:00:07 MDT 2011", bibsource = "http://www.fq.math.ca/2-3.html; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/fibquart.bib", URL = "http://www.fq.math.ca/Scanned/2-3/lehmer.pdf", acknowledgement = ack-nhfb, ajournal = "Fib. Quart", author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "The Fibonacci Quarterly. Official Organ of the Fibonacci Association", journal-URL = "http://www.fq.math.ca/", } @Article{Lehmer:1964:PS, author = "D. H. Lehmer", title = "On a problem of {St{\"o}rmer}", journal = j-ILL-J-MATH, volume = "8", pages = "57--79", year = "1964", CODEN = "IJMTAW", ISSN = "0019-2082 (print), 1945-6581 (electronic)", ISSN-L = "0019-2082", MRclass = "10.08", MRnumber = "158849", MRreviewer = "L. Mirsky", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://projecteuclid.org/euclid.ijm/1256067456", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Illinois Journal of Mathematics", } @Article{Lehmer:1965:CCP, author = "D. H. Lehmer", title = "On certain chains of primes", journal = j-PROC-LONDON-MATH-SOC-3, volume = "14a", pages = "183--186", year = "1965", CODEN = "PLMTAL", DOI = "https://doi.org/10.1112/plms/s3-14A.1.183", ISSN = "0024-6115 (print), 1460-244x (electronic)", ISSN-L = "0024-6115", MRclass = "10.47", MRnumber = "177964", MRreviewer = "L. K. Durst", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Proceedings of the London Mathematical Society. Third Series", journal-URL = "http://londmathsoc.onlinelibrary.wiley.com/hub/journal/10.1112/(ISSN)1460-244X/", } @Article{Lehmer:1965:PAI, author = "D. H. Lehmer", title = "Permutation by Adjacent Interchanges", journal = j-AMER-MATH-MONTHLY, volume = "72", number = "2, part II", pages = "36--46", month = feb, year = "1965", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2313309", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "05.04", MRnumber = "172816", MRreviewer = "S. W. Golomb", bibdate = "Mon Jun 28 12:37:46 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1960.bib", note = "Part 2: Computers and Computing.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1965:PFC, author = "D. H. Lehmer", title = "The Prime Factors of Consecutive Integers", journal = j-AMER-MATH-MONTHLY, volume = "72", number = "2, part II", pages = "19--20", month = feb, year = "1965", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2313306", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "10.08", MRnumber = "171739", MRreviewer = "W. R. Utz", bibdate = "Mon Jun 28 12:37:46 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1960.bib", note = "Part 2: Computers and Computing.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1965:PRT, author = "D. H. Lehmer", title = "The Primality of {Ramanujan}'s Tau-Function", journal = j-AMER-MATH-MONTHLY, volume = "72", number = "2, part II", pages = "15--18", month = feb, year = "1965", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2313305", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "10.03 (10.41)", MRnumber = "172855", MRreviewer = "Harvey Cohn", bibdate = "Mon Jun 28 12:37:46 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1960.bib", note = "Part 2: Computers and Computing.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lehmer:1966:CKS, author = "D. H. Lehmer and Emma Lehmer", title = "The cyclotomy of {Kloosterman} sums", journal = j-ACTA-ARITHMETICA, volume = "12", pages = "385--407", year = "1966/67", CODEN = "AARIA9", DOI = "https://doi.org/10.4064/aa-12-4-385-407", ISSN = "0065-1036 (print), 1730-6264 (electronic)", ISSN-L = "0065-1036", MRclass = "10.66", MRnumber = "214564", MRreviewer = "A. L. Whiteman", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica", journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all", } @InProceedings{Lehmer:1966:CTN, author = "D. H. Lehmer", booktitle = "{Proceedings of the IBM Scientific Computing Symposiums on Combinatorial Problems (Yorktown Heights, NY, 1964)}", title = "Combinatorial types in number-theory calculations", publisher = "IBM Data Processing Division", address = "White Plains, NY, USA", pages = "23--30", year = "1966", MRclass = "05.10 (10.00)", MRnumber = "0214490", MRreviewer = "J. Riordan", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Lehmer:1966:MM, author = "D. H. Lehmer", title = "Mechanized mathematics", journal = j-BULL-AMS, volume = "72", number = "5", pages = "739--750", year = "1966", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1966-11553-7", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "DML", MRnumber = "1566405", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", remark = "This is the thirty-eighth Josiah Willard Gibbs lecture delivered before the Annual Meeting of the Society in Denver on Tuesday Janary 26, 1965. Douglas Hartree is mentioned twice, both on page 742.", subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February 1958)", } @Article{Lehmer:1966:QCF, author = "E. Lehmer", title = "On the Quadratic Character of the {Fibonacci} Root", journal = j-FIB-QUART, volume = "4", number = "2", pages = "135--138", month = apr, year = "1966", CODEN = "FIBQAU", ISSN = "0015-0517", ISSN-L = "0015-0517", bibdate = "Thu Oct 20 18:03:24 MDT 2011", bibsource = "http://www.fq.math.ca/4-2.html; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/fibquart.bib", URL = "http://www.fq.math.ca/Scanned/4-2/lehmer.pdf", acknowledgement = ack-nhfb, ajournal = "Fib. Quart", author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "The Fibonacci Quarterly. Official Organ of the Fibonacci Association", journal-URL = "http://www.fq.math.ca/", } @Article{Lehmer:1966:SPC, author = "D. H. Lehmer", title = "Some properties of the cyclotomic polynomial", journal = j-J-MATH-ANAL-APPL, volume = "15", pages = "105--117", year = "1966", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/0022-247X(66)90144-2", ISSN = "0022-247x (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "10.79", MRnumber = "197441", MRreviewer = "D. J. Lewis", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "https://www.sciencedirect.com/science/article/pii/0022247X66901442", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @Article{Lehmer:1967:CHK, author = "D. H. Lehmer and Emma Lehmer", title = "The cyclotomy of hyper-{Kloosterman} sums", journal = j-ACTA-ARITHMETICA, volume = "14", pages = "89--111", year = "1967/1968", CODEN = "AARIA9", DOI = "https://doi.org/10.4064/aa-14-1-89-111", ISSN = "0065-1036 (print), 1730-6264 (electronic)", ISSN-L = "0065-1036", MRclass = "10.41", MRnumber = "0224572", MRreviewer = "A. L. Whiteman", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica", journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all", } @InCollection{Lehmer:1968:MPM, author = "D. H. Lehmer", booktitle = "Computers in Mathematical Research", title = "Machines and pure mathematics", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "1--7", year = "1968", MRclass = "68.00", MRnumber = "0234661", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Lehmer:1969:BRR, author = "D. H. Lehmer", title = "Book Review: {{\booktitle{Random number generators}} by Birger Jansson}", journal = j-QUART-APPL-MATH, volume = "27", number = "3", pages = "421--421", year = "1969", CODEN = "QAMAAY", DOI = "https://doi.org/10.2307/43636000", ISSN = "0033-569X (print), 1552-4485 (electronic)", ISSN-L = "0033-569X", bibdate = "Mon Jan 31 10:50:30 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", URL = "http://www.jstor.org/stable/43636000", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Quarterly of Applied Mathematics", journal-URL = "http://dl.acm.org/citation.cfm?id=J641; http://www.ams.org/journals/qam", reviewed-author = "Birger Jansson", } @InCollection{Lehmer:1969:CTA, author = "D. H. Lehmer", booktitle = "Studies in Number Theory", title = "Computer technology applied to the theory of numbers", publisher = pub-MAA, address = pub-MAA:adr, pages = "117--151", year = "1969", MRclass = "10.03", MRnumber = "0246815", MRreviewer = "P. Barrucand", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @InProceedings{Lehmer:1969:SPP, author = "D. H. Lehmer", booktitle = "Constructive Aspects of the {Fundamental Theorem of Algebra (Proc. Sympos., Z{\"u}rich--R{\"u}schlikon, 1967)}", title = "Search procedures for polynomial equation solving", publisher = pub-WI, address = pub-WI:adr, pages = "193--208", year = "1969", MRclass = "65.50", MRnumber = "0267750", MRreviewer = "W. M. Kincaid", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Lehmer:1970:CCM, author = "D. H. Lehmer", title = "On the compounding of certain means", journal = j-NAMS, volume = "17", number = "??", pages = "634--635", month = "????", year = "1970", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Tue Mar 14 19:09:32 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/agm.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", remark = "Check title: not found in MathSciNet or zbMATH databases, or in Web searches, but cited in \cite[ref. 17]{Carlson:1971:AIA}.", } @Article{Lehmer:1970:ISH, author = "D. H. Lehmer and Emma Lehmer and Daniel Shanks", title = "Integer Sequence having Prescribed Quadratic Character", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "433--451", month = apr, year = "1970", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2004491", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10.03", MRnumber = "271006", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehmer:1970:NDR, author = "D. H. Lehmer", title = "Note on the Distribution of {Ramanujan}'s Tau Function", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "741--743", month = jul, year = "1970", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2004851", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10.41", MRnumber = "274401", MRreviewer = "K. Thanigasalam", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @InProceedings{Lehmer:1970:PSR, author = "D. H. Lehmer", booktitle = "Combinatorial theory and its applications, {II} ({Proc. Colloq., Balatonf{\"u}red, 1969})", title = "Permutations with strongly restricted displacements", publisher = "????", address = "????", pages = "755--770", year = "1970", MRclass = "05A10", MRnumber = "0316260", MRreviewer = "N. S. Mendelsohn", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Brillhart:1971:C, author = "John Brillhart and Emma Lehmer", title = "Challenge", journal = j-FIB-QUART, volume = "9", number = "5", pages = "525--??", month = dec, year = "1971", CODEN = "FIBQAU", ISSN = "0015-0517", ISSN-L = "0015-0517", bibdate = "Thu Oct 20 18:05:41 MDT 2011", bibsource = "http://www.fq.math.ca/9-5.html; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/fibquart.bib", URL = "http://www.fq.math.ca/Scanned/9-5/challenge.pdf", acknowledgement = ack-nhfb, ajournal = "Fib. Quart", author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "The Fibonacci Quarterly. Official Organ of the Fibonacci Association", journal-URL = "http://www.fq.math.ca/", } @Article{Lehmer:1971:CCM, author = "D. H. Lehmer", title = "On the compounding of certain means", journal = j-J-MATH-ANAL-APPL, volume = "36", number = "1", pages = "183--200", month = oct, year = "1971", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/0022-247X(71)90029-1", ISSN = "0022-247x (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "10.43", MRnumber = "281696", MRreviewer = "D. Rearick", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/agm.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "https://www.sciencedirect.com/science/article/pii/0022247X71900291", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", keywords = "arithmetic--geometric mean (AGM) iteration; complete elliptic integrals of the first and second kinds. Landen s transformation", } @InProceedings{Lehmer:1971:EEM, author = "D. H. Lehmer", booktitle = "{Proceedings of the Twenty-Fifth Summer Meeting of the Canadian Mathematical Congress (Lakehead Univ., Thunder Bay, Ont., 1971)}", title = "Effective enumeration methods for highly restricted permutations", publisher = "????", address = "????", pages = "103--116", year = "1971", MRclass = "05A15", MRnumber = "0340041", MRreviewer = "S. G. Williamson", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @InProceedings{Lehmer:1971:SRS, author = "D. H. Lehmer", booktitle = "{Proceedings of the Manitoba Conference on Numerical Mathematics (Univ. Manitoba, Winnipeg, Man., 1971)}", title = "Some recursive sequences", publisher = "????", address = "????", pages = "15--30", year = "1971", MRclass = "10A35", MRnumber = "0335426", MRreviewer = "Jean-Pierre Duport", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Lehmer:1971:TECa, author = "D. H. Lehmer", title = "Table errata: {``On the converse of Fermat's theorem'' (Amer. Math. Monthly {\bf 43} (1936), 347--354)}", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "943", year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (10A25)", MRnumber = "400629", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://links.jstor.org/sici?sici=0025-5718(197110)25:116<943:TE>2.0.CO;2-9&origin=MSN", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehmer:1971:TECb, author = "D. H. Lehmer", title = "Table errata: {``On the converse of Fermat's theorem. II'' (Amer. Math. Monthly {\bf 56} (1949), 300--309)}", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "943--944", year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (10A25)", MRnumber = "400630", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://links.jstor.org/sici?sici=0025-5718(197110)25:116<943:TE>2.0.CO;2-9&origin=MSN", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehmer:1972:BRA, author = "D. H. Lehmer", title = "Book Review: {{\booktitle{The Art of Computer Programming, Vol. 2: Seminumerical Algorithms}} by D. E. Knuth}", journal = j-AM-SCI, volume = "60", number = "5", pages = "642--642", year = "1972", CODEN = "AMSCAC", DOI = "https://doi.org/10.2307/27843439", ISSN = "0003-0996 (print), 1545-2786 (electronic)", ISSN-L = "0003-0996", bibdate = "Mon Jan 31 10:50:30 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://www.jstor.org/stable/27843439", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Scientist", journal-URL = "http://www.americanscientist.org/issues/past.aspx", reviewed-author = "D. E. Knuth", } @Article{Lehmer:1972:RWP, author = "D. H. Lehmer", title = "On reciprocally weighted partitions", journal = j-ACTA-ARITHMETICA, volume = "21", pages = "379--388", year = "1972", CODEN = "AARIA9", DOI = "https://doi.org/10.4064/aa-21-1-379-388", ISSN = "0065-1036 (print), 1730-6264 (electronic)", ISSN-L = "0065-1036", MRclass = "10A45", MRnumber = "304302", MRreviewer = "George E. Andrews", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica", journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all", } @InProceedings{Lehmer:1972:SSA, author = "D. H. Lehmer", booktitle = "{Proceedings of the 1972 Number Theory Conference (Univ. Colorado, Boulder, Colo.)}", title = "Some structural aspects of the partitions of an integer", publisher = "????", address = "????", pages = "122--127", year = "1972", MRclass = "10A45 (10J20)", MRnumber = "0401635", MRreviewer = "George E. Andrews", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Lehmer:1973:CCQ, author = "Emma Lehmer", title = "On the cubic character of quadratic units", journal = j-J-NUMBER-THEORY, volume = "5", number = "5", pages = "385--389", month = oct, year = "1973", CODEN = "JNUTA9", DOI = "https://doi.org/10.1016/0022-314X(73)90039-5", ISSN = "0022-314X (print), 1096-1658 (electronic)", ISSN-L = "0022-314X", bibdate = "Wed Jul 15 08:46:24 MDT 2020", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/jnumbertheory1970.bib", URL = "http://www.sciencedirect.com/science/article/pii/0022314X73900395", acknowledgement = ack-nhfb, ajournal = "J. Number Theory", author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Journal of Number Theory", journal-URL = "http://www.sciencedirect.com/science/journal/0022314X", } @Article{Lehmer:1973:CFC, author = "D. H. Lehmer", title = "Continued fractions containing arithmetic progressions", journal = j-SCRIPTA-MATH, volume = "29", pages = "17--24", year = "1973", ISSN = "0036-9713", MRclass = "10A30 (33A40)", MRnumber = "327637", MRreviewer = "L. C. Eggan", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/scripta-math.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Scripta Mathematica", } @InProceedings{Lehmer:1973:CMP, author = "D. H. Lehmer", booktitle = "{Proceedings of the Second Manitoba Conference on Numerical Mathematics (Univ. Manitoba, Winnipeg, Man., 1972)}", title = "Calculating moments of partitions", publisher = "????", address = "????", pages = "217--220. Congressus Numerantium, No. VII", year = "1973", MRclass = "10J20", MRnumber = "0360494", MRreviewer = "George E. Andrews", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Lehmer:1973:EQF, author = "D. H. Lehmer", title = "The economics of quadratic form calculations", journal = j-J-NUMBER-THEORY, volume = "5", number = "6", pages = "544--545", month = dec, year = "1973", CODEN = "JNUTA9", DOI = "https://doi.org/10.1016/0022-314X(73)90026-7", ISSN = "0022-314X (print), 1096-1658 (electronic)", ISSN-L = "0022-314X", bibdate = "Wed Jul 15 08:46:24 MDT 2020", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/jnumbertheory1970.bib", URL = "http://www.sciencedirect.com/science/article/pii/0022314X73900267", acknowledgement = ack-nhfb, ajournal = "J. Number Theory", author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Journal of Number Theory", journal-URL = "http://www.sciencedirect.com/science/journal/0022314X", } @Article{Lehmer:1973:MMS, author = "D. H. Lehmer", title = "Multisectioned moments of {Stirling} numbers of the second kind", journal = j-J-COMB-THEORY-A, volume = "15", pages = "210--224", year = "1973", CODEN = "JCBTA7", DOI = "https://doi.org/10.1016/s0097-3165(73)80008-1", ISSN = "0097-3165 (print), 1096-0899 (electronic)", ISSN-L = "0097-3165", MRclass = "05A10", MRnumber = "325401", MRreviewer = "H. W. Gould", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0097316573800081", abstract = "The Stirling number of the second kind, $ S(n, k) $, enumerates the ways that $n$ distinct objects can be stored in $k$ non-empty indistinguishable boxes. When $k$ is restricted to a given residue class modulo $ \mu $, the moments of the distribution $ S(n, k)$ have properties associated with the Olivier functions of order $ \mu $ evaluated at $1$ and $ - 1$. The simplest example is Dobinski's formula for the Bell number $ B_n = \sum_{k = 0}^n S(n, k) = e^{-1} \sum_{\lambda = 0}^\infty \lambda^n / \lambda !$. The treatment is based on combinatorial arguments and umbral calculus.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Journal of Combinatorial Theory. Series A", journal-URL = "http://www.sciencedirect.com/science/journal/00973165", } @Article{Lehmer:1973:SPC, author = "D. H. Lehmer", title = "Some properties of circulants", journal = j-J-NUMBER-THEORY, volume = "5", number = "1", pages = "43--54", month = feb, year = "1973", CODEN = "JNUTA9", DOI = "https://doi.org/10.1016/0022-314X(73)90056-5", ISSN = "0022-314x (print), 1096-1658 (electronic)", ISSN-L = "0022-314X", MRclass = "05B20 (15A15)", MRnumber = "316272", MRreviewer = "Stephen Tanny", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/jnumbertheory1970.bib", URL = "http://www.sciencedirect.com/science/article/pii/0022314X73900565", acknowledgement = ack-nhfb, ajournal = "J. Number Theory", author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Journal of Number Theory", journal-URL = "http://www.sciencedirect.com/science/journal/0022314X", } @InProceedings{Guy:1974:SRA, author = "Richard K. Guy and D. H. Lehmer and J. L. Selfridge and M. C. Wunderlich", booktitle = "{Proceedings of the Third Manitoba Conference on Numerical Mathematics (Winnipeg, Man., 1973)}", title = "Second report on aliquot sequences", publisher = "????", address = "????", pages = "357--368", year = "1974", MRclass = "10-04 (10A40)", MRnumber = "0351967", MRreviewer = "S. A. Burr", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @InProceedings{Lehmer:1974:CCP, author = "D. H. Lehmer", booktitle = "{Proceedings of the Fifth Southeastern Conference on Combinatorics, Graph Theory, and Computing (Florida Atlantic Univ., Boca Raton, Fla., 1974)}", title = "Combinatorial and cyclotomic properties of certain tridiagonal matrices", publisher = "????", address = "????", pages = "53--74. Congressus Numerantium, No. X", year = "1974", MRclass = "10A45", MRnumber = "0441852", MRreviewer = "George E. Andrews", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Lehmer:1974:HSV, author = "D. H. Lehmer", title = "{Harry Schultz Vandiver}, 1882--1973", journal = j-BULL-AMS, volume = "80", pages = "817--818", year = "1974", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1974-13523-8", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "01A70 (10-03)", MRnumber = "342346", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @InProceedings{Lehmer:1974:ICR, author = "D. H. Lehmer", booktitle = "The influence of computing on mathematical research and education {(Proc. Sympos. Appl. Math., Vol. 20, Univ. Montana, Missoula, Mont., 1973)}", title = "The influence of computing on research in number theory", publisher = "????", address = "????", pages = "3--12", year = "1974", MRclass = "10-04", MRnumber = "0364061", MRreviewer = "P. J. Weinberger", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Lehmer:1974:NFT, author = "D. H. Lehmer and Emma Lehmer", title = "A New Factorization Technique Using Quadratic Forms", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "625--635", month = apr, year = "1974", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2005939", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25 (10-04 10B05)", MRnumber = "342458", MRreviewer = "Harvey Cohn", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Univ. California, Berkeley, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "aliquot series; combinatorial mathematics; factorization technique; inequalities; number theory; quadratic forms; sieving facilities", treatment = "T Theoretical or Mathematical", } @Article{Brillhart:1975:NPC, author = "John Brillhart and D. H. Lehmer and J. L. Selfridge", title = "New primality criteria and factorizations of $ 2^m \pm 1 $", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "620--647", month = apr, year = "1975", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2005583", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25", MRnumber = "384673", MRreviewer = "Jean-Marie De Koninck", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/cryptography.bib; https://www.math.utah.edu/pub/tex/bib/fibquart.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. Math., Univ. Arizona, Tucson, AZ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "divisibility properties; factorizations; Fermat's theorem; hyperbola; Lucas sequences; Mersenne numbers; number theory; primality criteria; search bound", referencedin = "Referenced in \cite[Ref. 2]{Silverman:1997:FGR}.", treatment = "T Theoretical or Mathematical", } @Article{Lehmer:1975:ECA, author = "D. H. Lehmer", title = "{Euler} constants for arithmetical progressions", journal = j-ACTA-ARITHMETICA, volume = "27", pages = "125--142", year = "1975", CODEN = "AARIA9", DOI = "https://doi.org/10.4064/aa-27-1-125-142", ISSN = "0065-1036 (print), 1730-6264 (electronic)", ISSN-L = "0065-1036", MRclass = "10A20", MRnumber = "369233", MRreviewer = "Karl-Heinz Indlekofer", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica", journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all", } @Article{Lehmer:1975:FRS, author = "D. H. Lehmer", title = "{Fibonacci} and Related Sequences in Periodic Tridiagonal Matrices", journal = j-FIB-QUART, volume = "13", number = "2", pages = "150--158", month = apr, year = "1975", CODEN = "FIBQAU", ISSN = "0015-0517", ISSN-L = "0015-0517", MRclass = "10M20 (10A35)", MRnumber = "374080", MRreviewer = "Calvin T. Long", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "http://www.fq.math.ca/13-2.html; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/fibquart.bib", URL = "http://www.fq.math.ca/Scanned/13-2/lehmer.pdf", acknowledgement = ack-nhfb, ajournal = "Fib. Quart", author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "The Fibonacci Quarterly. Official Organ of the Fibonacci Association", journal-URL = "http://www.fq.math.ca/", } @Article{Graham:1976:PSM, author = "R. L. Graham and D. H. Lehmer", title = "On the permanent of {Schur}'s matrix", journal = j-J-AUSTRAL-MATH-SOC-SER-A, volume = "21", number = "4", pages = "487--497", year = "1976", CODEN = "JAMADS", DOI = "https://doi.org/10.1017/s1446788700019339", ISSN = "0263-6115 (print), 2396-8192 (electronic)", MRclass = "15A15", MRnumber = "417210", MRreviewer = "H. Ratschek", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Australian Mathematical Society. Journal. Series A. Pure Mathematics and Statistics", } @Article{Lehmer:1976:BRT, author = "D. H. Lehmer", title = "Book Review: {{\booktitle{Tabelle der (Relativ)-Klassenzahlen der Kreisk{\"o}rper deren $ \phi $-Funktion des Wurtzelexponenten (Grad) nicht gr{\"o}sser als 256 ist}} by G. Schrutka v. Rechtenstamm}", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "375--376", year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2005987", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Jan 31 10:50:30 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", URL = "http://www.jstor.org/stable/2005987", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", reviewed-author = "G. Schrutka v. Rechtenstamm", } @Article{Lehmer:1976:CLP, author = "D. H. Lehmer", title = "The Characters of linear permutations", journal = j-LIN-AND-MULT-ALGEBRA, volume = "4", number = "1", pages = "1--16", year = "1976", CODEN = "LNMLAZ", DOI = "https://doi.org/10.1080/03081087608817124", ISSN = "0308-1087 (print), 1563-5139 (electronic)", ISSN-L = "0308-1087", MRclass = "10M99", MRnumber = "404196", MRreviewer = "K. S. Williams", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Linear and Multilinear Algebra", journal-URL = "http://www.tandfonline.com/loi/glma20", onlinedate = "02 Apr 2008", } @Article{Lehmer:1976:IGS, author = "D. H. Lehmer", title = "Incomplete {Gauss} sums", journal = j-MATHEMATIKA, volume = "23", number = "2", pages = "125--135", year = "1976", CODEN = "MTKAAB", DOI = "https://doi.org/10.1112/S0025579300008718", ISSN = "0025-5793", MRclass = "10G05", MRnumber = "429787", MRreviewer = "Bruce C. Berndt", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematika. A Journal of Pure and Applied Mathematics", journal-URL = "https://www.cambridge.org/core/journals/mathematika/all-issues", } @Article{Lehmer:1976:SCN, author = "D. H. Lehmer", title = "Strong {Carmichael} numbers", journal = j-J-AUSTRAL-MATH-SOC-SER-A, volume = "21", number = "4", pages = "508--510", year = "1976", CODEN = "JAMADS", DOI = "https://doi.org/10.1017/s1446788700019364", ISSN = "0263-6115 (print), 2396-8192 (electronic)", MRclass = "10A10", MRnumber = "417032", MRreviewer = "Donald L. Goldsmith", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Australian Mathematical Society. Journal. Series A. Pure Mathematics and Statistics", } @InProceedings{Lehmer:1977:EPN, author = "D. H. Lehmer", booktitle = "{Proceedings of the Sixth Manitoba Conference on Numerical Mathematics (Univ. Manitoba, Winnipeg, Man., 1976)}", title = "Exploitation of parallelism in number theoretic and combinatorial computation", publisher = "????", address = "????", pages = "95--111. Congress. Numer., XVIII", year = "1977", MRclass = "10-04 (68A20)", MRnumber = "0554190", MRreviewer = "J. L. Selfridge", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", } @Article{Lehmer:1977:PFC, author = "D. H. Lehmer", title = "Prime Factors of Cyclotomic Class Numbers", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "599--607", month = apr, year = "1977", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2006441", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A50 (12A35)", MRnumber = "432589", MRreviewer = "James R. C. Leitzel", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Univ. of California, Berkeley, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cyclotomic class numbers; number theory; prime factors", treatment = "T Theoretical or Mathematical", } @Article{Lehmer:1978:ATC, author = "D. H. Lehmer and J. M. Masley", title = "Addendum: {``Table of the cyclotomic class numbers $ h \sp *(p) $ and their factors for $ 200 < p < 521 $'' (Math. Comp. {\bf 32} (1978), no. 142, 577--582)}", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "loose microfiche suppl", year = "1978", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2006166", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A35 (12A50)", MRnumber = "498485", MRreviewer = "Wells Johnson", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehmer:1978:RRL, author = "Emma Lehmer", title = "Rational Reciprocity Laws", journal = j-AMER-MATH-MONTHLY, volume = "85", number = "6", pages = "467--472", month = jun # "\slash " # jul, year = "1978", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:05 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1970.bib", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Lehmer:1978:TCC, author = "D. H. Lehmer and J. M. Masley", title = "Table of the Cyclotomic Class Numbers $ h^\ast (p) $ and Their Factors for $ 200 < p < 521 $", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "577--582", month = apr, year = "1978", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2006166", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A35 (12A50)", MRnumber = "498484", MRreviewer = "Wells Johnson", bibdate = "Sat Jan 29 08:01:54 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.jstor.org/stable/2006166", abstract = "This table gives the values of the {"first} {factor"} $ h^\ast (p) $ and their factorizations for all primes $ p, 200 < p < 521 $. This extends similar data by M. Newman [Math. Comp., v. 24, 1970, pp. 215-219], and Schrutka [Berlin Akad. Abn., 1964]. The two methods used to compute these data are described.", acknowledgement = ack-nhfb, author-dates = "Derrick Henry Lehmer (23 February 1905--22 May 1991)", classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Univ. of California, Berkeley, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "200