On overpartition pairs into odd parts modulo powers of 2

被引：4

作者：

Adiga, Chandrashekar ^{[1
]}

Dasappa, Ranganatha ^{[2
]}

机构：

[1] Univ Mysore, Dept Studies Math, Mysore 570006, Karnataka, India

[2] Cent Univ Karnataka, Sch Phys Sci, Dept Math, Kalaburagi 585367, Karnataka, India

来源：

DISCRETE MATHEMATICS | 2018年 / 341卷 / 11期

关键词：

Partitions; Overpartitions pairs; Congruences; CONGRUENCES;

D O I：

10.1016/j.disc.2018.08.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 2012, Lin (Electron. J. Combin. 19(2) (2012) #P17) investigated the 2 and 3-divisibility properties for (pp) over bar (o)(n), the number of overpartition pairs into odd parts. Using modular forms, he proved that for a fixed positive integer k, (pp) over bar (o)(n) is almost always divisible by 2(k). In this paper, we prove several congruences for (pp) over bar (o)(n) modulo higher powers of 2 in an elementary way. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：3141 / 3147

页数：7

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