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Random matrix theory and discrete moments of the Riemann zeta function

C. P. Hughes

Published 2002-07-25, updated 2002-12-04Version 2

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.

Comments: Replacement corrects slight typos. To be published in J. Phys. A, special issue in Random Matrix Theory
Categories: math.NT
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