Congruences modulo 8 for (2, k)-regular overpartitions for odd k > 1

被引：0

作者：

Adiga, Chandrashekar ^{[1
]}

Naika, M. S. Mahadeva ^{[2
]}

Ranganatha, D. ^{[3
]}

Shivashankar, C. ^{[2
]}

机构：

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

[2] Bangalore Univ, Dept Math, Cent Coll Campus, Bangalore 560001, Karnataka, India

[3] Siddaganga Inst Technol, Dept Math, BH Rd, Tumakuru 572103, Karnataka, India

来源：

ARABIAN JOURNAL OF MATHEMATICS | 2018年 / 7卷 / 02期

关键词：

D O I：

10.1007/s40065-017-0195-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study various arithmetic properties of the function (p) over bar (2, k)(n), which denotes the number of (2, k)-regular overpartitions of n with odd k > 1. We prove several infinite families of congruences modulo 8 for (p) over bar (2, k)(n). For example, we find that for all non-negative integers beta, n and k equivalent to 1 (mod 8), (p) over bar (2, k)(2(1+beta)(16n + 14)) equivalent to 0 (mod 8).

引用

页码：61 / 75

页数：15

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