Ramanujan type congruences for modular forms of several variables

被引：1
|
作者：
Kikuta, Toshiyuki [1 ]
Nagaoka, Shoyu [2 ]
机构：
[1] Osaka Inst Technol, Dept Math, Asahi Ku, Osaka 5358585, Japan
[2] Kinki Univ, Sch Sci & Engn, Dept Math, Osaka 5778502, Japan
来源：
RAMANUJAN JOURNAL | 2013年 / 32卷 / 01期
关键词：
Congruences for modular forms; Cusp forms; FOURIER COEFFICIENTS; DEGREE-2; PRIMES;
D O I：
10.1007/s11139-012-9423-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give congruences between the Eisenstein series and a cusp form in the cases of Siegel modular forms and Hermitian modular forms. We should emphasize that there is a relation between the existence of a prime dividing the (k-1)th generalized Bernoulli number and the existence of non-trivial Hermitian cusp forms of weight k. We will conclude by giving numerical examples for each case.
引用
收藏
页码：143 / 157
页数：15
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