Paul Bateman

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Paul Trevier Bateman (born June 6, 1919 in Philadelphia , Pennsylvania , † December 26, 2012 in Urbana , Illinois ) was an American mathematician who studied number theory .

Life

Bateman studied at the University of Pennsylvania with a bachelor's degree in 1939 and a master's degree in 1940. In 1946 he received his doctorate there under Hans Rademacher ( On the representation of a number as the sum of three squares ). At the same time he was a lecturer in statistics at Bryn Mawr College . From 1946 to 1948 he was an instructor at Yale University and from 1948 to 1950 at the Institute for Advanced Study (and again in 1956/57). From 1950 he was assistant professor and from 1958 until his retirement in 1989 he was professor at the University of Illinois at Urbana-Champaign . There he was head of the mathematics faculty from 1965 to 1980.

In 1961/62 he conducted research at the University of Pennsylvania and in 1964/65 he was visiting professor at the City University of New York . In 1980/81 he was an exchange professor at the University of Michigan .

In 1962 he and Roger Horn put forward a conjecture named after both of them about the distribution of prime numbers in systems of polynomials. It generalizes a conjecture by Hardy and Littlewood about prime twins and a conjecture by Schinzel ( Hypothesis H ).

In 1989 he worked with John Selfridge and Samuel Wagstaff on the New Conjecture on Mersenne Prime Numbers . It has been verified for all prime exponents below 16.7 million, but is unproven.

His PhD students include Marvin Knopp and George Purdy .

He had been married since 1948 and had one daughter.

Fonts

  • with Harold G. Diamond: Analytic Number Theory: an introductory course , World Scientific 2004

Individual evidence

  1. ^ Paul Bateman - Obituary
  2. ^ Mathematics Genealogy Project
  3. ↑ Bateman, Horn: A heuristic asymptotic formula concerning the distribution of prime numbers , Mathematics of Computation, Volume 16, 1962, pp. 363-367
  4. ^ New Mersenne Prime Conjecture
  5. ↑ Bateman, Selfridge, Wagstaff: The new Mersenne conjecture , American Mathematical Monthly, Volume 96, 1987, pp. 125-128
personal data
SURNAME Bateman, Paul
ALTERNATIVE NAMES Bateman, Paul Trevier
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH June 6, 1919
PLACE OF BIRTH Philadelphia , Pennsylvania
DATE OF DEATH December 26, 2012
Place of death Urbana , Illinois