Ratios conjecture of quartic $L$-functions of prime moduli
| Autor: | Gao, Peng, Zhao, Liangyi |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We apply the method of multiple Dirichlet series to develop $L$-functions ratios conjecture with one shift in both the numerator and denominator in certain ranges for the family of quartic Hecke $L$-functions of prime moduli over the Gaussian field under the generalized Riemann hypothesis. As consequences, we evaluate asymptotically the first moment of central values as well as the one-level density of the same family of $L$-functions. Comment: 29 pages |
| Databáze: | arXiv |
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