Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916773285068800 |
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| author | Gao, Peng Zhao, Liangyi |
| author_facet | Gao, Peng Zhao, Liangyi |
| contents | We evaluate the twisted first moment of central values of the family of primitive quadratic Dirichlet $L$-functions using the method of double Dirichlet series together with a recursive argument. Our main result is an asymptotic formula with an error term of size that is the square root of that of the main term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15980 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions Gao, Peng Zhao, Liangyi Number Theory 11M06, 11M32 We evaluate the twisted first moment of central values of the family of primitive quadratic Dirichlet $L$-functions using the method of double Dirichlet series together with a recursive argument. Our main result is an asymptotic formula with an error term of size that is the square root of that of the main term. |
| title | Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions |
| topic | Number Theory 11M06, 11M32 |
| url | https://arxiv.org/abs/2405.15980 |