NEW CONGRUENCE PROPERTIES FOR RAMANUJAN'S φ FUNCTION

被引：4

作者：

Xia, Ernest X. W. ^{[1
]}

机构：

[1] Suzhou Univ Sci & Technol, Sch Math Sci, Suzhou 215009, Jiangsu, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 12期

基金：

美国国家科学基金会;

关键词：

Key words and phrases; Ramanujan's 0 function; congruences; theta functions;

D O I：

10.1090/proc/15221

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In 2012, Chan proved a number of congruences for the coefficients of Ramanujan's 0 function. In this paper, we prove some new congruences modulo powers of 2 and 3 for Ramanujan's 0 function by employing Newman's identities and theta function identities.

引用

页码：4985 / 4999

页数：15

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