More infinite families of congruences modulo 5 for broken 2-diamond partitions

被引：7
|
作者：
Xia, Ernest X. W. [1 ]
机构：
[1] Jiangsu Univ, Dept Math, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
JOURNAL OF NUMBER THEORY | 2017年 / 170卷
基金：
中国国家自然科学基金;
关键词：
Broken k-diamond partition; Congruence; Theta function; 3-DIAMOND PARTITIONS; PARITY; RAMANUJAN; DIAMONDS; ANDREWS; FORMS;
D O I：
10.1016/j.jnt.2016.04.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of broken k-diamond partitions was introduced by Andrews and Paule. Let Delta(k)(n) denote the number of broken k-diamond partitions of n for a fixed positive integer k. Recently, Chan, and Paule and Radu proved some congruences modulo 5 for Delta(2)(n). In this paper, we prove several new infinite families of congruences modulo 5 for Delta(2)(n) by using an identity due to Newman. Our results generalize the congruences proved by Paule and Radu. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：250 / 262
页数：13
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