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Pré-Publication, Document De Travail Année : 2006

Random Matrices and the Riemann zeta function

Résumé

These notes are based on a talk given at the Institut de Mathématiques 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.
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Dates et versions

hal-00119410 , version 1 (10-12-2006)

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  • HAL Id : hal-00119410 , version 1

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Paul Bourgade, Marc Yor. Random Matrices and the Riemann zeta function. 2006. ⟨hal-00119410⟩
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