Non-vanishing of Dirichlet $L$-functions with smooth conductors
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912231831109632 |
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| author | Leung, Sun-Kai |
| author_facet | Leung, Sun-Kai |
| contents | Given a large, square-free, smooth conductor, we establish the non-vanishing of the central values for at least $35.9\%$ of the primitive Dirichlet $L$-functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_01713 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-vanishing of Dirichlet $L$-functions with smooth conductors Leung, Sun-Kai Number Theory 11L05, 11L07, 11M20 Given a large, square-free, smooth conductor, we establish the non-vanishing of the central values for at least $35.9\%$ of the primitive Dirichlet $L$-functions. |
| title | Non-vanishing of Dirichlet $L$-functions with smooth conductors |
| topic | Number Theory 11L05, 11L07, 11M20 |
| url | https://arxiv.org/abs/2410.01713 |