Non-vanishing of Dirichlet $L$-functions at the Central Point
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913862052216832 |
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| author | Qin, Xinhua Wu, Xiaosheng |
| author_facet | Qin, Xinhua Wu, Xiaosheng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11916 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-vanishing of Dirichlet $L$-functions at the Central Point Qin, Xinhua Wu, Xiaosheng Number Theory 11M20 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. |
| title | Non-vanishing of Dirichlet $L$-functions at the Central Point |
| topic | Number Theory 11M20 |
| url | https://arxiv.org/abs/2504.11916 |