$p$-adic properties of coefficients of basis for the space of weakly holomorphic modular forms of weight 2

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Soyoung Choi¹ 

[1] Department of Mathematics Education, Dongguk University

关键词: Weakly holomorphic modular form;    congruence.;   

DOI  :  10.3792/pjaa.88.11

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

We observe properties of coefficients of certain basis elements for the space of weakly holomorphic modular forms of weight 2 for $SL_{2}(\mathbf{Z})$. Moreover we show that these coefficients are often highly divisible by the primes 2, 3, 5, 7, 11.

【 授权许可】

Unknown