Congruences for 9-regular partitions modulo 3

被引：23

作者：

Cui, Su-Ping ^{[1
,2
]}

Gu, Nancy S. S. ^{[2
]}

机构：

[1] ChangChun Architecture & Civil Engn Coll, Dept Basic Subjects Teaching, Changchun 130607, Peoples R China

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

来源：

RAMANUJAN JOURNAL | 2015年 / 38卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Partition; Congruence; l-regular partition; DISTINCT PARTS; SIMPLE PROOF; EVEN PARTS; NUMBER; POWERS; CONJECTURE;

D O I：

10.1007/s11139-014-9586-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In view of the modular equation of fifth order, we give a simple proof of Keith's conjecture which is some infinite families of congruences modulo 3 for the 9-regular partition function. Meanwhile, we derive some new congruences modulo 3 for the 9-regular partition function.

引用

页码：503 / 512

页数：10

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