THE 7-REGULAR AND 13-REGULAR PARTITION FUNCTIONS MODULO 3

被引：7

作者：

Boll, Eric ^{[1
]}

Penniston, David ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Oshkosh, WI 54901 USA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2016年 / 93卷 / 03期

关键词：

partitions; congruences; modular forms; DISTINCT PARTS; DIVISIBILITY;

D O I：

10.1017/S0004972715001434

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let b(l)(n) denote the number of l-regular partitions of n. In this paper we establish a formula for b(13)(3n + 1) modulo 3 and use this to find exact criteria for the 3-divisibility of b13(3n + 1) and b(13)(3n). We also give analogous criteria for b(7)(3n) and b(7)(3n + 2).

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收藏

页码：410 / 419

页数：10

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