A note on the zeros of $L$-functions associated to fixed-order Dirichlet characters
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909340842065920 |
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| author | Corrigan, C. C. |
| author_facet | Corrigan, C. C. |
| contents | In this paper, we use the Weyl-bound for Dirichlet $L$-functions to derive zero-density estimates for $L$-functions associated to families of fixed-order Dirichlet characters. The results improve on previous bounds given by the author when $σ$ is sufficiently distanced from the critical line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_16518 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A note on the zeros of $L$-functions associated to fixed-order Dirichlet characters Corrigan, C. C. Number Theory 11M26, 11N35 In this paper, we use the Weyl-bound for Dirichlet $L$-functions to derive zero-density estimates for $L$-functions associated to families of fixed-order Dirichlet characters. The results improve on previous bounds given by the author when $σ$ is sufficiently distanced from the critical line. |
| title | A note on the zeros of $L$-functions associated to fixed-order Dirichlet characters |
| topic | Number Theory 11M26, 11N35 |
| url | https://arxiv.org/abs/2310.16518 |