Nonvanishing of Dirichlet $L$-functions

Rizwanur Khan; Hieu Ngo

doi:10.2140/ant.2016.10.2081

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Home > Journals > Algebra Number Theory > Volume 10 > Issue 10 > Article

2016 Nonvanishing of Dirichlet $L$-functions

Rizwanur Khan, Hieu Ngo

Algebra Number Theory 10(10): 2081-2091 (2016). DOI: 10.2140/ant.2016.10.2081

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Abstract

We show that for at least $\frac{3}{8}$ of the primitive Dirichlet characters $χ$ of large prime modulus, the central value $L (\frac{1}{2}, χ)$ does not vanish.

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Rizwanur Khan. Hieu Ngo. "Nonvanishing of Dirichlet $L$-functions." Algebra Number Theory 10 (10) 2081 - 2091, 2016. https://doi.org/10.2140/ant.2016.10.2081