Fourier coefficients of Sp(4) Eisenstein series

被引：0

作者：

Man, Siu hang ^{[1
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Dept Algebra, Prague 8, Czech Republic

来源：

ACTA ARITHMETICA | 2024年 / 213卷 / 03期

关键词：

Eisenstein series; constant terms; Fourier coefficients; WHITTAKER FUNCTIONS; KLOOSTERMAN SUMS; POINCARE-SERIES;

D O I：

10.4064/aa230511-16-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute explicit formulae for the constant terms and Fourier coefficients for Eisenstein series on Sp(4, , R), in terms of zeta functions and Whittaker functions. We also develop a generalisation of Ramanujan sums to Sp(4, , Z), which appear as coefficients in the Fourier expansion for the minimal Eisenstein series.

引用

页码：227 / 271

页数：46

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