Bounds for Moments of Twisted Fourier coefficients of Modular Forms
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909431398137856 |
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| author | Gao, Peng Zhao, Liangyi |
| author_facet | Gao, Peng Zhao, Liangyi |
| contents | We establish upper bounds for shifted moments of modular $L$-functions to a fixed modulus as well as quadratic twists of modular $L$-functions under the generalized Riemann hypothesis. Our results are then used to establish bounds for moments of sums involving with Fourier coefficients of a given modular form twisted by Dirichlet characters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12515 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bounds for Moments of Twisted Fourier coefficients of Modular Forms Gao, Peng Zhao, Liangyi Number Theory 11L40, 11M06 We establish upper bounds for shifted moments of modular $L$-functions to a fixed modulus as well as quadratic twists of modular $L$-functions under the generalized Riemann hypothesis. Our results are then used to establish bounds for moments of sums involving with Fourier coefficients of a given modular form twisted by Dirichlet characters. |
| title | Bounds for Moments of Twisted Fourier coefficients of Modular Forms |
| topic | Number Theory 11L40, 11M06 |
| url | https://arxiv.org/abs/2412.12515 |