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
收藏
页码：1603 / 1608
页数：6
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