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
收藏
页码：4985 / 4999
页数：15
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