First moment of central values of some primitive Dirichlet $L$-functions with fixed order characters
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866916183183196160 |
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| author | Gao, Peng Zhao, Liangyi |
| author_facet | Gao, Peng Zhao, Liangyi |
| contents | We evaluate asymptotically the smoothed first moment of central values of families of primitive cubic, quartic and sextic Dirichlet $L$-functions, using the method of double Dirichlet series. Quantitative non-vanishing result for these $L$-values are also proved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_10602 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | First moment of central values of some primitive Dirichlet $L$-functions with fixed order characters Gao, Peng Zhao, Liangyi Number Theory 11M06, 11M41, 11N37, 11L05, 11L40 We evaluate asymptotically the smoothed first moment of central values of families of primitive cubic, quartic and sextic Dirichlet $L$-functions, using the method of double Dirichlet series. Quantitative non-vanishing result for these $L$-values are also proved. |
| title | First moment of central values of some primitive Dirichlet $L$-functions with fixed order characters |
| topic | Number Theory 11M06, 11M41, 11N37, 11L05, 11L40 |
| url | https://arxiv.org/abs/2308.10602 |