# A. O. L. Atkin

Arthur Oliver Lonsdale Atkin, cited as AOL Atkin, he used the name Oliver, (* July 31, 1925, † December 28, 2008 in Maywood (Illinois ) ) was a British- American mathematician, which deals with number theory and modular functions employed.

Atkin worked during World War II to the deciphering German codes at Bletchley Park in the so-called Newmanry ( directed by Max Newman and Shaun Wylie ). In 1952 he received his doctorate at John Edensor Littlewood at the University of Cambridge ( Two problems in additive number theory ). He was from the 1950s, a professor at the University of Durham and in the 1970s at the University of Illinois at Chicago. He died of pneumonia at a hospital after a fall.

He improved as well as Noam Elkies early 1990s René Schoof 's algorithm to determine the number of points on elliptic curves over finite fields.

With François Morain, he improved in 1993 a primality test with elliptic curves of Shafi Goldwasser and Joe Kilian (1986).

By Daniel J. Bernstein in 2004 he led a fast Primzahlsieb a ( sieve of Atkin ).

He also dealt with the partition function and module functions, where he is known for the Atkin - Lehner theory of modular forms ( with Joseph Lehner ). He also dealt with the moonlight properties of modular forms with respect to the Monster group. With Paul Fong and Stephen D. Smith, he pointed by computer calculations, the existence of such a representation of the Monster group after that had the moonlight properties result, it was designed by Igor Frenkel, James Lepowsky and Arne Meurman.

In the 1960s, he used the data center Atlas Laboratory in Chilton for calculations in the theory of modular functions ( the first Atlas Research Fellow ). Mostly he worked there with Peter Swinnerton - Dyer together ( Atkin - Swinnerton -Dyer congruences proved by Anthony Scholl ).