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
收藏
页码：3141 / 3147
页数：7
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