CONGRUENCES FOR k DOTS BRACELET PARTITION FUNCTIONS

被引：3

作者：

Cui, Su-Ping ^{[1
]}

Gu, Nancy Shan Shan ^{[1
]}

机构：

[1] Nankai Univ, Ctr Combinator, LPMC TJKLC, Tianjin 300071, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2013年 / 9卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Partition; broken k-diamond partition; k dots bracelet partition; congruence; BROKEN; ANDREWS;

D O I：

10.1142/S1793042113500644

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Andrews and Paule introduced broken k-diamond partitions by using MacMahon's partition analysis. Recently, Fu found a generalization which he called k dots bracelet partitions and investigated some congruences for this kind of partitions. In this paper, by finding congruence relations between the generating function for 5 dots bracelet partitions and that for 5-regular partitions, we get some new congruences modulo 2 for the 5 dots bracelet partition function. Moreover, for a given prime p, we study arithmetic properties modulo p of k dots bracelet partitions.

引用

页码：1885 / 1894

页数：10

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