Ratios conjecture for quadratic twist of modular $L$-functions
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866914936788090880 |
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| author | Gao, Peng Zhao, Liangyi |
| author_facet | Gao, Peng Zhao, Liangyi |
| contents | We develop the $L$-functions ratios conjecture with one shift in the numerator and denominator in certain ranges for the family of quadratic twist of modular $L$-functions using multiple Dirichlet series under the generalized Riemann hypothesis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_14600 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ratios conjecture for quadratic twist of modular $L$-functions Gao, Peng Zhao, Liangyi Number Theory 11M06, 11M41 We develop the $L$-functions ratios conjecture with one shift in the numerator and denominator in certain ranges for the family of quadratic twist of modular $L$-functions using multiple Dirichlet series under the generalized Riemann hypothesis. |
| title | Ratios conjecture for quadratic twist of modular $L$-functions |
| topic | Number Theory 11M06, 11M41 |
| url | https://arxiv.org/abs/2304.14600 |