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
收藏
页码：707 / 753
页数：47
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