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Zbl 1141.11313
Royer, Emmanuel
$\zeta$-function and random matrices. (Fonction $\zeta$ et matrices aléatoires.) (French. en summary)
[A] Nyssen, Louise (ed.), Physics and number theory. Zürich: European Mathematical Society Publishing House. IRMA Lectures in Mathematics and Theoretical Physics 10, 165-224 (2006). ISBN 3-03719-028-0/pbk

This is a survey of some results which indicate that the zeros of Riemann's zeta function have the same statistical behaviour as the eigenvalues of unitary matrices.
[Florin Nicolae (Berlin)]
MSC 2000:
*11M06 Riemannian zeta-function and Dirichlet L-function
11M26 Nonreal zeros of zeta(s) and L(s,chi)

Keywords: $\zeta$-function; random matrices

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