Lower bounds for negative moments of Dirichlet $L$-functions to a fixed modulus
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909413122506752 |
|---|---|
| author | Gao, Peng |
| author_facet | Gao, Peng |
| contents | We establish lower bounds for the $2k$-th moment of central values of the family of primitive Dirichlet $L$-functions to a fixed prime modulus for all real $k<0$, assuming the non-vanishing of these $L$-values. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02080 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lower bounds for negative moments of Dirichlet $L$-functions to a fixed modulus Gao, Peng Number Theory We establish lower bounds for the $2k$-th moment of central values of the family of primitive Dirichlet $L$-functions to a fixed prime modulus for all real $k<0$, assuming the non-vanishing of these $L$-values. |
| title | Lower bounds for negative moments of Dirichlet $L$-functions to a fixed modulus |
| topic | Number Theory |
| url | https://arxiv.org/abs/2412.02080 |