Congruences modulo 27 for cubic partition pairs

被引：13

作者：

Lin, Bernard L. S. ^{[1
]}

机构：

[1] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China

来源：

JOURNAL OF NUMBER THEORY | 2017年 / 171卷

基金：

中国国家自然科学基金;

关键词：

Cubic partition pairs; Congruence; RAMANUJAN TYPE CONGRUENCES; CONTINUED-FRACTION;

D O I：

10.1016/j.jnt.2016.07.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let b(n) denote the number of cubic partition pairs of n. This paper aims to study the congruences for b(n) modulo 27. We first establish three Ramanujan type congruences. Then many infinite families of congruences are presented. Finally, we propose two conjectures on the congruences for b(n) modulo 49,81 and 243. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：31 / 42

页数：12

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