Congruences for partitions with odd parts distinct modulo 5

被引：13

作者：

Cui, Su-Ping ^{[1
]}

Gu, Wen Xiang ^{[1
]}

Ma, Zhen Sheng ^{[1
]}

机构：

[1] Changchun Architecture & Civil Engn Coll, Inst Appl Math & Intelligence Syst, Dept Basic Subjects Teaching, Changchun 130607, Jilin, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2015年 / 11卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Partition; congruence; operator; odd parts distinct;

D O I：

10.1142/S1793042115500943

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Hirschhorn and Sellers studied arithmetic properties of the number of partitions with odd parts distinct modulo powers of 3. In this paper, we focus on congruences for pod(n) modulo 5. For example, for alpha >= 2 and n >= 0, we have pod (5(2 alpha)n + 11.5(2 alpha-1) + 1/8) = 0 (mod 5). In addition, applying some equations given by Hirschhorn and Sellers [ Arithmetic properties of partitions with odd parts distinct, Ramanujan J. 22 (2010) 273-284], some new congruences are established.

引用

页码：2151 / 2159

页数：9

共 10 条

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[2]

Andrew GE, 2005, RAMANUJANS LOST NO 1

[3]

Andrews G. E., 1967, P AM MATH SOC, V8, P945

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