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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.06082 |
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| _version_ | 1866909985113374720 |
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| author | Benli, Kübra Goel, Shivani Twiss, Henry Zaman, Asif |
| author_facet | Benli, Kübra Goel, Shivani Twiss, Henry Zaman, Asif |
| contents | Assuming the existence of a Landau-Siegel zero, we establish an explicit Deuring-Heilbronn zero repulsion phenomenon for Dirichlet $L$-functions modulo $q$. Our estimate is uniform in the entire critical strip, and improves over the previous best known explicit estimate due to Thorner and Zaman. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06082 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Explicit Deuring-Heilbronn phenomenon for Dirichlet $L$-functions Benli, Kübra Goel, Shivani Twiss, Henry Zaman, Asif Number Theory 11M06, 11M20, 11N36 Assuming the existence of a Landau-Siegel zero, we establish an explicit Deuring-Heilbronn zero repulsion phenomenon for Dirichlet $L$-functions modulo $q$. Our estimate is uniform in the entire critical strip, and improves over the previous best known explicit estimate due to Thorner and Zaman. |
| title | Explicit Deuring-Heilbronn phenomenon for Dirichlet $L$-functions |
| topic | Number Theory 11M06, 11M20, 11N36 |
| url | https://arxiv.org/abs/2410.06082 |