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An Isaac Newton Institute Workshop

Recent Perspectives in Random Matrix Theory and Number Theory

Derivatives of the Riemann zeta function

5th April 2004

Author: C.P. Hughes (AIM)

Abstract

In this lecture we will look at moments of the derivative of the Riemann zeta function, and how random matrix theory can help predict their asymptotic behaviour. Applications to estimating the size of large gaps between the zeros will also be discussed.