Infinite Families of Congruences Modulo 5 for Ramanujan's General Partition Function

被引：0

作者：

Chetry, Jubaraj ^{[1
]}

Saikia, Nipen ^{[2
]}

机构：

[1] Paschim Dhemaji Coll, Dept Math, Ghuguha Dole 787053, Assam, India

[2] Rajiv Gandhi Univ, Dept Math, Doimukh 791112, Arunachal Prade, India

来源：

THAI JOURNAL OF MATHEMATICS | 2022年 / 20卷 / 04期

关键词：

Ramanujan?s general partition function; partition congruence; q-identities;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any non-negative integer n and non-zero integer r, let pr(n) denote Ramanujan's general partition function. By employing q-identities, we prove some new Ramanujan-type congruences modulo 5 for pr(n) for r = -(5 lambda + 1), -(5 lambda + 3), -(5 lambda + 4), -(25 lambda + 1), -(25 lambda + 2), and any integer A.

引用

页码：1603 / 1608

页数：6

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