Congruences and recursions for the cubic partition

被引：12

作者：

Chern, Shane ^{[1
]}

Dastidar, Manosij Ghosh ^{[2
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

[2] Pondicherry Univ, Dept Math Sci, Pondicherry 605014, India

来源：

RAMANUJAN JOURNAL | 2017年 / 44卷 / 03期

关键词：

Cubic partition; Congruence; Recursion;

D O I：

10.1007/s11139-016-9852-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let denote the number of cubic partitions. In this paper, we shall present two new congruences modulo 11 for We also provide an elementary alternative proof of a congruence established by Chan. Furthermore, we will establish a recursion for which is a special case of a broader class of recursions.

引用

页码：559 / 566

页数：8

共 12 条

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