15 July 2001 Low-lying zeros of L-functions and random matrix theory
Michael Rubinstein
Duke Math. J. 109(1): 147-181 (15 July 2001). DOI: 10.1215/S0012-7094-01-10916-2

Abstract

By looking at the average behavior (n-level density) of the low-lying zeros of certain families of L-functions, we find evidence, as predicted by function field analogs, in favor of a spectral interpretation of the nontrivial zeros in terms of the classical compact groups.

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Michael Rubinstein. "Low-lying zeros of L-functions and random matrix theory." Duke Math. J. 109 (1) 147 - 181, 15 July 2001. https://doi.org/10.1215/S0012-7094-01-10916-2

Information

Published: 15 July 2001
First available in Project Euclid: 5 August 2004

zbMATH: 1014.11050
MathSciNet: MR1844208
Digital Object Identifier: 10.1215/S0012-7094-01-10916-2

Subjects:
Primary: 11M26
Secondary: 11F66

Rights: Copyright © 2001 Duke University Press

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Vol.109 • No. 1 • 15 July 2001
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