RAMANUJAN CONGRUENCES FOR SIEGEL MODULAR FORMS

被引：5
|
作者：
Dewar, Michael [1 ]
Richter, Olav K. [2 ]
机构：
[1] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada
[2] Univ N Texas, Dept Math, Denton, TX 76203 USA
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2010年 / 6卷 / 07期
关键词：
Ramanujan congruences; Jacobi forms; Siegel modular forms; PARTITION-FUNCTION; JACOBI FORMS;
D O I：
10.1142/S179304211000371X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We determine conditions for the existence and non-existence of Ramanujan-type congruences for Jacobi forms. We extend these results to Siegel modular forms of degree 2 and as an application, we establish Ramanujan-type congruences for explicit examples of Siegel modular forms.
引用
收藏
页码：1677 / 1687
页数：11
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