A p-ADIC LIMIT OF SIEGEL-EISENSTEIN SERIES OF PRIME LEVEL q

被引：2

作者：

Mizuno, Yoshinori ^{[1
]}

机构：

[1] Max Planck Inst Math, D-53111 Bonn, Germany

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2008年 / 4卷 / 05期

关键词：

Siegel modular forms; Eisenstein series; p-adic properties;

D O I：

10.1142/S1793042108001729

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a p-adic limit of a Siegel-Eisenstein series of prime level q becomes a Siegel modular form of level pq. This paper contains a simple formula for Fourier coefficients of a Siegel-Eisenstein series of degree two and prime levels.

引用

页码：735 / 746

页数：12

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