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Questions about generalizations of the Riemann Zeta function of arithmetic interest whose definition relies on meromorphic continuation of special kinds of Dirichlet series, such as Dirichlet L-functions, Artin L-functions, elements of the Selberg class, automorphic L-functions, Shimizu L-functions, p-adic L-functions, etc.

6 votes

L-functions and random matrices

Have a look at J. Brian Conrey's "L-functions and Random Matrices" at http://arxiv.org/PS_cache/math/pdf/0005/0005300v1.pdf
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