Random matrix theory and discrete moments of the Riemann zeta function

Preprint

25 July 2002

preprint
Published by arXiv in arXiv

Abstract

We calculate the discrete moments of the characteristic polynomial of a random unitary matrix, evaluated a small distance away from an eigenangle. Such results allow us to make conjectures about similar moments for the Riemann zeta function, and provide a uniform approach to understanding moments of the zeta function and its derivative.

Keywords

DISCRETE MOMENTS
RANDOM UNITARY
ZETA FUNCTION
RANDOM MATRIX
MATRIX THEORY
RIEMANN ZETA
MOMENTS

All Related Versions

Version 1, 2002-07-25, ArXiv
Version 2, 2002-12-04, ArXiv
Published version: Journal of Physics A: General Physics, 36 (12), 2907.

This publication has 0 references indexed in Scilit: