Twisted fourth moment of Dirichlet $L$-functions to a fixed modulus
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909703402946560 |
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| author | Gao, Peng Zhao, Liangyi |
| author_facet | Gao, Peng Zhao, Liangyi |
| contents | We evaluate the twisted four moment on the critical line of the family of Dirichlet $L$-functions to a fixed prime power modulus, obtaining an asymptotic formula with a power saving error term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18186 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Twisted fourth moment of Dirichlet $L$-functions to a fixed modulus Gao, Peng Zhao, Liangyi Number Theory 11M06 We evaluate the twisted four moment on the critical line of the family of Dirichlet $L$-functions to a fixed prime power modulus, obtaining an asymptotic formula with a power saving error term. |
| title | Twisted fourth moment of Dirichlet $L$-functions to a fixed modulus |
| topic | Number Theory 11M06 |
| url | https://arxiv.org/abs/2507.18186 |