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Abstract: this paper is the formulation and proof of an analogue of the Montgomery--Odlyzko Law for these zeta and L--functions. A major part of this work is devoted to an analysis of the distribution of the local spacings between the eigenvalues of matrices in the classical groups. Let G(N) denote one of the compact groups U(N ), SU(N ), O(N ), SO(N ), USp(N ), i.e. the unitary, (Update)
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BibTeX entry: (Update)
@misc{ katz-spacing,
author = "Nicholas M. Katz and Peter Sarnak",
title = "The Spacing Distributions between Zeros of Zeta Functions",
url = "citeseer.ist.psu.edu/katz96spacing.html" }
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