Congruences and recursions for the cubic partition

被引：9
|
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.
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页码：559 / 566
页数：8
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