Congruences for the number of partitions and bipartitions with distinct even parts

被引：11
|
作者：
Dai, Haobo [1 ]
机构：
[1] Univ Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
来源：
DISCRETE MATHEMATICS | 2015年 / 338卷 / 03期
关键词：
Partitions and bipartitions with even parts distinct; Congruences; Binary quadratic forms;
D O I：
10.1016/j.disc.2014.10.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let ped(n) denote the number of partitions of n wherein even parts are distinct (and odd parts are unrestricted). We show infinite families of congruences for ped(n) modulo 8. We also examine the behavior of ped(-2)(n) modulo 8 in detail where ped(-2)(n) denotes the number of bipartitions of n with even parts distinct. As a result, we find infinite families of congruences for ped(-2)(n) modulo 8. (C) 2014 Elsevier B.V. All rights reserved.
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页码：133 / 138
页数：6
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