Infinite families of congruences for k-regular overpartitions

被引：13
|
作者：
Ray, Chiranjit [1 ]
Barman, Rupam [1 ]
机构：
[1] Indian Inst Technol Guwahati, Dept Math, North Guwahati 781039, Assam, India
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2018年 / 14卷 / 01期
关键词：
Partition; overpartition; regular overpartition; theta functions;
D O I：
10.1142/S1793042118500021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (A) over bar (k) (n) be the number of overpartitions of n into parts not divisible by k. In this paper, we find infinite families of congruences modulo 4, 8 and 16 for (A) over bar (2k) (n) and (A) over bar (4k) (n) for any k >= 1. Along the way, we obtain several Ramanujan type congruences for (A) over bar (2k) (n) and (A) over bar (4k) (n) We also find infinite families of congruences modulo 6 for (A) over bar (9) (n).
引用
收藏
页码：19 / 29
页数：11
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