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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2023
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2302.08285 |
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| _version_ | 1866910296960925696 |
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| author | Bondarenko, Andriy Darbar, Pranendu Hagen, Markus Valås Heap, Winston Seip, Kristian |
| author_facet | Bondarenko, Andriy Darbar, Pranendu Hagen, Markus Valås Heap, Winston Seip, Kristian |
| contents | We exhibit large values of the Dedekind zeta function of a cyclotomic field on the critical line. This implies a dichotomy whereby one either has improved lower bounds for the maximum of the Riemann zeta function, or large values of Dirichlet $L$-functions on the level of the Bondarenko--Seip bound. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_08285 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A dichotomy for extreme values of zeta and Dirichlet L-functions Bondarenko, Andriy Darbar, Pranendu Hagen, Markus Valås Heap, Winston Seip, Kristian Number Theory We exhibit large values of the Dedekind zeta function of a cyclotomic field on the critical line. This implies a dichotomy whereby one either has improved lower bounds for the maximum of the Riemann zeta function, or large values of Dirichlet $L$-functions on the level of the Bondarenko--Seip bound. |
| title | A dichotomy for extreme values of zeta and Dirichlet L-functions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2302.08285 |