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arXiv · 2504.11916

Non-vanishing of Dirichlet $L$-functions at the Central Point

Xinhua Qin·Xiaosheng Wu
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Abstract

We prove that for at least $\frac{7}{19}$ of the primitive Dirichlet characters $χ$ with large general modulus, the central value $L(\frac12,χ)$ is non-vanishing.

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Xinhua Qin, Xiaosheng Wu. 2025-05-28. Non-vanishing of Dirichlet $L$-functions at the Central Point. https://arxiv.org/abs/2504.11916

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