Random matrix theory and discrete moments of the Riemann zeta function
Number Theory
2009-11-07 v2
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
Cite
@article{arxiv.math/0207236,
title = {Random matrix theory and discrete moments of the Riemann zeta function},
author = {C. P. Hughes},
journal= {arXiv preprint arXiv:math/0207236},
year = {2009}
}
Comments
Replacement corrects slight typos. To be published in J. Phys. A, special issue in Random Matrix Theory