Nonvanishing of quadratic Dirichlet L-functions at s=1/2

K. Soundararajan

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Nonvanishing of quadratic Dirichlet L-functions at s=1/2

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arxiv math/9902163 v2 pith:7XG4RG4I submitted 1999-02-23 math.NT

Nonvanishing of quadratic Dirichlet L-functions at s=1/2

K. Soundararajan This is my paper

classification math.NT

keywords dirichletquadraticcharacterconductordiscriminantsfundamentalherel-functions

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We show that for a positive proportion of fundamental discriminants d, L(1/2,chi_d) != 0. Here chi_d is the primitive quadratic Dirichlet character of conductor d.

Nonvanishing of quadratic Dirichlet L-functions at s=1/2

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