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.

引用

页码：133 / 138

页数：6

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