On the theta operator for Hermitian modular forms of degree 2

被引：7

作者：

Kikuta, Toshiyuki ^{[1
]}

Nagaoka, Shoyu ^{[2
]}

机构：

[1] Fukuoka Inst Tech, Dept Informat & Syst Engn, Fukuoka 8110295, Japan

[2] Kindai Univ, Dept Math, Osaka 5778502, Japan

来源：

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 2017年 / 87卷 / 01期

关键词：

Hermitian modular forms; Theta operators; MOD-P; SERIES;

D O I：

10.1007/s12188-016-0141-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The mod p kernel of the theta operator is the set of modular forms whose image of the theta operator is congruent to zero modulo a prime p. In the case of Siegel modular forms, the authors found interesting examples of such modular forms. For example, Igusa's odd weight cusp form is an element of mod 23 kernel of the theta operator. In this paper, we give some examples which represent elements in the mod p kernel of the theta operator in the case of Hermitian modular forms of degree 2.

引用

页码：145 / 163

页数：19

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