ARITHMETIC PROPERTIES OF (k,l)-REGULAR BIPARTITIONS

被引：22

作者：

Wang, Liuquan ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2017年 / 95卷 / 03期

关键词：

partitions; congruences; (k; l)-regular bipartitions; modular forms; REGULAR PARTITION-FUNCTIONS; DISTINCT PARTS; DIVISIBILITY; NUMBER;

D O I：

10.1017/S0004972716000964

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let B-k,B-l(n) denote the number of (k,l)-regular bipartitions of n. Employing both the theory of modular forms and some elementary methods, we systematically study the arithmetic properties of B-3,B-l (n) and B-5,B-l (n). In particular, we confirm all the conjectures proposed by Dou

引用

页码：353 / 364

页数：12

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