Symplectic Kloosterman Sums and Poincar\'e Series
| Autor: | Man, Siu Hang |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Ramanujan J. 57 (2022), 707-753 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s11139-021-00498-5 |
| Popis: | We prove power-saving bounds for general Kloosterman sums on $\operatorname{Sp}(4)$ associated to all Weyl elements via a stratification argument coupled with $p$-adic stationary phase methods. We relate these Kloosterman sums to the Fourier coefficients of $\operatorname{Sp}(4)$ Poincar\'e series. Comment: Published version |
| Databáze: | arXiv |
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