An Isaac Newton Institute Workshop

Recent Perspectives in Random Matrix Theory and Number Theory

RMT Moment calculations

Author: JP Keating (Bristol)

Abstract

Lecture 1: Introduction to the CUE and averages over other classical compact groups

Lecture 2: moments and value distribution of CUE characteristic polynomials; comparison with the moments and value distribution of the Riemann zeta function

Lecture 3: vanishing of L-function central values and RMT predictions