An Isaac Newton Institute Workshop

Recent Perspectives in Random Matrix Theory and Number Theory

Pair correlation of zeros of the Riemann zeta-function and prime numbers

30th March 2004

Author: Dan Goldston (San Jose State University)

Abstract

The first lecture will cover Montgomery's 1973 paper where the pair correlation and GUE conjecture were first made, together with some applications. The second and third lecture will cover the connections between zeros and prime numbers, and include further methods for examining the distribution of primes. The fourth lecture will give a brief introduction to Selberg's theory of the distribution of values of log (zeta) and S(t).

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