Structure of Hermitian modular forms modulo p and some applications

被引：0

作者：

Meher, Jaban ^{[1
]}

Singh, Sujeet Kumar ^{[2
]}

机构：

[1] Natl Inst Sci Educ & Res, Sch Math Sci, HBNI, PO Jatni, Khurja 752050, Odisha, India

[2] Indian Inst Technol, Dept Math, Mumbai 400076, Maharashtra, India

来源：

RESEARCH IN NUMBER THEORY | 2021年 / 7卷 / 03期

关键词：

Hermitian modular forms; Hermitian Jacobi forms; Heat operators; THETA OPERATOR; CONGRUENCES; JACOBI;

D O I：

10.1007/s40993-021-00280-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the ring structure of certain Hermitian modular forms of degree 2 modulo a prime p. As an application, we provide a criterion of not belonging in the mod p kernel of the heat operator for Hermitian cusp forms. We also provide examples of Hermitian modular forms which belong to the mod p kernel of the heat operator.

引用

页数：18

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