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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2111.03834 |
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| _version_ | 1866909369571999744 |
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| author | Nordentoft, Asbjørn Christian |
| author_facet | Nordentoft, Asbjørn Christian |
| contents | We study wide moments of Dirichlet $L$-functions using analytic properties of the Lerch zeta function. Among other things we obtain an asymptotic expansion of wide moments of Dirichlet $L$-functions (with arbitrary twists) extending results of Heath-Brown. We also give applications to non-vanishing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_03834 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Wide moments of $L$-functions II: Dirichlet $L$-functions Nordentoft, Asbjørn Christian Number Theory We study wide moments of Dirichlet $L$-functions using analytic properties of the Lerch zeta function. Among other things we obtain an asymptotic expansion of wide moments of Dirichlet $L$-functions (with arbitrary twists) extending results of Heath-Brown. We also give applications to non-vanishing. |
| title | Wide moments of $L$-functions II: Dirichlet $L$-functions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2111.03834 |