Nonvanishing of Dirichlet L-functions, II

Khan, Rizwanur; Milićević, Djordje; Ngo, Hieu T.

doi:10.1007/s00209-021-02821-8

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Nonvanishing of Dirichlet L-functions, II

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Milićević, Djordje
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/s00209-021-02821-8
(Publisher version)

https://doi.org/10.48550/arXiv.1911.10268
(Preprint)

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Citation

Khan, R., Milićević, D., & Ngo, H. T. (2022). Nonvanishing of Dirichlet L-functions, II. Mathematische Zeitschrift, 300(2), 1603-1613. doi:10.1007/s00209-021-02821-8.

Cite as: https://hdl.handle.net/21.11116/0000-0009-2578-7

Abstract

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