Random Matrices and the Riemann zeta function

Paul Bourgade, Marc Yor

Type: Preprint

Publication Date: 2006-12-10

Citations: 1

Abstract

These notes are based on a talk given at the Institut de Mathematiques Elie Cartan de Nancy in June 2006. Their purpose is to introduce the reader to some links between two fields of mathematics : analytic number theory and random matrices. After some historical overview of these connections, we expose a conjecture about the moments of the Riemann zeta function, formulated by Keating and Snaith. Last, we give some probabilistic interpretations of their corresponding results about unitary random matrices.

Locations

CiteSeer X (The Pennsylvania State University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

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