An asymptotic formula of spectral average of central $L$-values on ${\bf GSp}(2)$ for square free levels
| Autor: | Kuga, Seiji, Tsuzuki, Masao |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We develop a new kind of relative trace formulas on ${\bf PGSp}_2$ involving the Bessel periods and the Rankin-Selberg type integral a la Piatetski-Shapiro for Siegel cusp forms on its spectral side. As an application, a version of weighted equidistribution theorems for the Satake parameters of Siegel cusp forms of square-free level and of scalar weights is proved. Comment: 64 pages |
| Databáze: | arXiv |
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