A. O. L. Atkin

{{short description|British-American mathematician}}

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{{Infobox scientist

|name = A. O. L. Atkin

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|birth_date = {{Birth date|1925|7|31|df=yes}}

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|death_date = {{Death date and age|2008|12|28|1925|7|31|df=yes}}

|death_place = Maywood, Illinois, US

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|nationality = British

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|fields = Computational number theory

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|alma_mater = University of Cambridge (PhD)

|doctoral_advisor = John Littlewood

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Arthur Oliver Lonsdale Atkin (31 July 1925 – 28 December 2008), who published under the name A. O. L. Atkin, was a British mathematician.

As an undergraduate during World War II, Atkin worked at Bletchley Park cracking German codes.{{cite web|url=http://www-groups.dcs.st-and.ac.uk/~history/Printonly/Preston.html|title=Gordon Bamford Preston|access-date=3 November 2007|archive-date=1 March 2012|archive-url=https://web.archive.org/web/20120301195045/http://www-groups.dcs.st-and.ac.uk/~history/Printonly/Preston.html|url-status=dead}} He received his Ph.D. in 1952 from the University of Cambridge, where he was one of John Littlewood's research students.{{MathGenealogy|id=32922}} In 1952 he moved to Durham University as a lecturer in mathematics.https://2010.eccworkshop.org/slides/birch-atkintribute.txt During 1964–1970, he worked at the Atlas Computer Laboratory at Chilton, computing modular functions. Toward the end of his life, he was Professor Emeritus of mathematics at the University of Illinois at Chicago.

Atkin, along with Noam Elkies, extended Schoof's algorithm to create the Schoof–Elkies–Atkin algorithm. Together with Daniel J. Bernstein, he developed the sieve of Atkin.

Atkin is also known for his work on properties of the integer partition function and the monster module. He was a vocal fan of using computers in mathematics, so long as the end goal was theoretical advance: "Each new generation of machines makes feasible a whole new range of computations; provided mathematicians pursue these rather than merely break old records for old sports, computation will have a significant part to play in the development of mathematics."{{cite book|last=Birch|first=B. |chapter=Atkin and the Atlas Lab|editor-last1= Buell|editor-first1= D. A. |editor-last2=Teitelbaum|editor-first2= J. T. |title= Computational perspectives on number theory |chapter-url=https://www.ams.org/books/amsip/007/02/amsip007-02.pdf|publisher= American Mathematical Society|date= 1998|pages= 13–20}}

Atkin died of nosocomial pneumonia on 28 December 2008, in Maywood, Illinois.{{cite web|url=http://listserv.nodak.edu/cgi-bin/wa.exe?A2=ind0812&L=nmbrthry&T=0&F=&S=&P=3246|title=Note from Henrietta Atkin}}

Selected publications

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  • {{Citation | authorlink=A. O. L. Atkin | last1=Atkin | first1=A. O. L. | authorlink2=Joseph Lehner | last2=Lehner | first2=J. | title=Hecke operators on Γ0 (m) | doi=10.1007/BF01359701 | mr=0268123 | year=1970 | journal=Mathematische Annalen | issn=0025-5831 | volume=185 | issue=2 | pages=134–160| s2cid=120159177 }}
  • Atkin, A. O. L. and Morain, F. "Elliptic Curves and Primality Proving." Math. Comput. 61, 29–68, 1993.
  • Atkin, A. O. L. and Bernstein, D. J. [https://www.ams.org/mcom/2004-73-246/S0025-5718-03-01501-1/S0025-5718-03-01501-1.pdf Prime sieves using binary quadratic forms], Math. Comp. 73 (2004), 1023–1030.[http://cr.yp.to/papers/primesieves.pdf].

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See also

References

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