Congruences for (3,11)-regular bipartitions modulo 11

被引：10

作者：

Dou, Donna Q. J. ^{[1
]}

机构：

[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China

来源：

RAMANUJAN JOURNAL | 2016年 / 40卷 / 03期

基金：

中国国家自然科学基金;

关键词：

(k; l)-Regular bipartition; Cubic theta functions; Congruence; REGULAR PARTITION-FUNCTIONS; EVEN PARTS DISTINCT; 9-REGULAR PARTITIONS; ARITHMETIC PROPERTIES; OVERPARTITION PAIRS; KEITHS CONJECTURE; DIVISIBILITY; IDENTITIES; RAMANUJAN; NUMBER;

D O I：

10.1007/s11139-015-9732-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we investigate the function , which counts the number of -regular bipartitions of n. We shall prove an infinite family of congruences modulo 11: for alpha >= 2 and n >= 0, B-3,B-11 (3(alpha)n + 5.3(alpha-1) - 1/2) equivalent to 0 (mod 11).

引用

页码：535 / 540

页数：6