Symplectic Kloosterman sums and Poincare series

被引：2

作者：

Man, Siu Hang ^{[1
]}

机构：

[1] Rhein Friedrich Wilhelms Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany

来源：

RAMANUJAN JOURNAL | 2022年 / 57卷 / 02期

关键词：

Kloosterman sums; Poincare series; EXPONENTIAL-SUMS;

D O I：

10.1007/s11139-021-00498-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove power-saving bounds for general Kloosterman sums on 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 Sp(4) Poincare series.

引用

页码：707 / 753

页数：47

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