Negative first moment of quadratic twists of $L$-functions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866915163628634112 |
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| author | Gao, Peng Zhao, Liangyi |
| author_facet | Gao, Peng Zhao, Liangyi |
| contents | We evaluate asymptotically the negative first moment at points larger than $1/2$ of the family of quadratic twists of automorphic $L$-functions using multiple Dirichlet series under the generalized Riemann hypothesis and the Ramanujan-Petersson conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_05055 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Negative first moment of quadratic twists of $L$-functions Gao, Peng Zhao, Liangyi Number Theory 11M06, 11M41, 11L05, 11F66 We evaluate asymptotically the negative first moment at points larger than $1/2$ of the family of quadratic twists of automorphic $L$-functions using multiple Dirichlet series under the generalized Riemann hypothesis and the Ramanujan-Petersson conjecture. |
| title | Negative first moment of quadratic twists of $L$-functions |
| topic | Number Theory 11M06, 11M41, 11L05, 11F66 |
| url | https://arxiv.org/abs/2303.05055 |