Ramanujan type congruences for the Klingen-Eisenstein series

被引：1

作者：

Kikuta, Toshiyuki ^{[1
]}

Takemori, Sho ^{[2
]}

机构：

[1] Ritsumeikan Univ, Coll Sci & Engn, Kusatsu, Shiga 5258577, Japan

[2] Hokkaido Univ, Dept Math, Kita Ku, Sapporo, Hokkaido 0600810, Japan

来源：

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 2014年 / 84卷 / 02期

关键词：

Congruences for modular forms; Klingen-Eisenstein series; Cusp forms; Ramanujan; SIEGEL MODULAR-FORMS; EIGENVALUES;

D O I：

10.1007/s12188-014-0098-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the case of Siegel modular forms of degree , we prove that, for almost all prime ideals in any ring of algebraic integers, mod cusp forms are congruent to true cusp forms of the same weight. As an application we give congruences for the Klingen-Eisenstein series and cusp forms, which can be regarded as a generalization of Ramanujan's congruence. We will conclude by giving numerical examples.

引用

页码：257 / 266

页数：10

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