Upper bounds for shifted moments of Dirichlet $L$-functions to a fixed modulus over function fields
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908344131780608 |
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| author | Baier, Stephan Gao, Peng |
| author_facet | Baier, Stephan Gao, Peng |
| contents | In this paper, we establish sharp upper bounds on shifted moments of the family of Dirichlet $L$-functions to a fixed modulus over function fields. We apply the result to obtain upper bounds on moments of Dirichlet character sums over function fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19606 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Upper bounds for shifted moments of Dirichlet $L$-functions to a fixed modulus over function fields Baier, Stephan Gao, Peng Number Theory In this paper, we establish sharp upper bounds on shifted moments of the family of Dirichlet $L$-functions to a fixed modulus over function fields. We apply the result to obtain upper bounds on moments of Dirichlet character sums over function fields. |
| title | Upper bounds for shifted moments of Dirichlet $L$-functions to a fixed modulus over function fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2406.19606 |