arxiv: math/9902163 · v2 · submitted 1999-02-23 · 🧮 math.NT

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

K. Soundararajan This is my paper

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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.

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

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