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arXiv · 1911.10268

Nonvanishing of Dirichlet L-functions, II

Rizwanur Khan·Djordje Milićević·Hieu T. Ngo
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Abstract

We show that for at least $\frac{5}{13}$ of the primitive Dirichlet characters $χ$ of large prime modulus, the central value $L(\frac{1}{2},χ)$ does not vanish, improving on the previous best known result of $\frac{3}{8}$.

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Rizwanur Khan, Djordje Milićević, Hieu T. Ngo. 2020-04-07. Nonvanishing of Dirichlet L-functions, II. https://arxiv.org/abs/1911.10268

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