Congruences for coefficients of level 2 modular functions with poles at 0

被引：1

作者：

Jenkins, Paul ^{[1
]}

Keck, Ryan ^{[1
]}

Moss, Eric ^{[1
]}

机构：

[1] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

来源：

ARCHIV DER MATHEMATIK | 2018年 / 111卷 / 04期

关键词：

Weakly holomorphic modular forms; Congruences; Fourier coefficients; DIVISIBILITY PROPERTIES; FORMS;

D O I：

10.1007/s00013-018-1207-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give congruences modulo powers of 2 for the Fourier coefficients of certain level 2 modular functions with poles only at 0, answering a question posed by Andersen and the first author. The congruences involve a modulus that depends on the binary expansion of the modular form's order of vanishing at infinity.

引用

页码：369 / 378

页数：10

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