Paul T. Bateman

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

Life

Bateman graduated from the University of Pennsylvania with a bachelor's degree in 1939 and a master's degree 1940., 1946, he was there with Hans Rademacher doctorate ( 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. 1946 to 1948 he was 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 a professor at the University of Illinois at Urbana- Champaign. He was from 1965 to 1980 head of the mathematics faculty.

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

In 1962, he turned to a named after both conjecture about the distribution of prime numbers in systems of polynomials with Roger Horn. It generalizes a conjecture of Hardy and Littlewood on twin primes and a conjecture of Schinzel ( hypothesis H).

In 1989 he exhibited at the New conjecture about Mersenne primes with John Selfridge and Samuel Wagstaff. It is verified for all prime exponent below 16.7 million, but is unproven.

His doctoral include Marvin Knopp and George Purdy.

He was married in 1948 and had a daughter.

Writings

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