On Hermitian modular forms mod p

被引：7

作者：

Kikuta, Toshiyuki ^{[1
]}

Nagaoka, Shoyu ^{[2
]}

机构：

[1] Kinki Univ, Dept Math, Interdisciplinary Grad Sch Sci & Engn, Higashiosaka, Osaka 5778502, Japan

[2] Kinki Univ, Dept Math, Sch Sci & Engn, Higashiosaka, Osaka 5778502, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2011年 / 63卷 / 01期

基金：

日本学术振兴会;

关键词：

Hermitian modular forms; Congruences for modular forms;

D O I：

10.2969/jmsj/06310211

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize the notion of modular forms mod p to the case of Hermitian modular forms. Moreover we determine the structure of the algebra of degree 2 Hermitian modular forms mod p in the cases that the corresponding quadratic field is Q(root-1) and Q(root-3).

引用

页码：211 / 238

页数：28