Structure of Hermitian modular forms modulo p and some applications

被引：0
|
作者：
Jaban Meher
Sujeet Kumar Singh
机构：
[1] National Institute of Science Education and Research,School of Mathematical Sciences
[2] Bhubaneswar,Department of Mathematics
[3] HBNI,undefined
[4] Indian Institute of Technology Bombay,undefined
来源：
Research in Number Theory | 2021年 / 7卷
关键词：
Hermitian modular forms; Hermitian Jacobi forms; Heat operators; 11F33; 11F55; 11F50;
D O I：
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中图分类号：
学科分类号：
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.
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