Random matrix theory and discrete moments of the Riemann zeta function

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.

Replacement corrects slight typos. To be published in J. Phys. A, special issue in Random Matrix Theory

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