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arxiv: 1512.04030 · v2 · pith:SLDB3JUBnew · submitted 2015-12-13 · 🧮 math.NT

Nonvanishing of Dirichlet L-functions

classification 🧮 math.NT
keywords dirichletcentralcharactersl-functionslargeleastmodulusnonvanishing
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We show that for at least 3/8 of the primitive Dirichlet characters $\chi$ of large prime modulus, the central value $L(1/2,\chi)$ does not vanish.

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