On Turing's method for Artin $L$-functions and the Selberg class
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909722102202368 |
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| author | Palojärvi, Neea Zhao, Tianyu |
| author_facet | Palojärvi, Neea Zhao, Tianyu |
| contents | We derive explicit bounds for two general classes of $L$-functions, improving and generalizing earlier known estimates. These bounds can be used, for example, to apply Turing's method for determining the number of zeros up to a given height. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03023 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Turing's method for Artin $L$-functions and the Selberg class Palojärvi, Neea Zhao, Tianyu Number Theory 11M41, 11Y35, 11L07 We derive explicit bounds for two general classes of $L$-functions, improving and generalizing earlier known estimates. These bounds can be used, for example, to apply Turing's method for determining the number of zeros up to a given height. |
| title | On Turing's method for Artin $L$-functions and the Selberg class |
| topic | Number Theory 11M41, 11Y35, 11L07 |
| url | https://arxiv.org/abs/2508.03023 |