Congruences for overpartitions with l-regular over-lined parts

被引：0
|
作者：
Shivanna, Gireesh Dapparthi [1 ]
Chandrappa, Shivashankar [2 ]
机构：
[1] MS Ramaiah Univ Appl Sci, Dept Math, Bengaluru 560058, Karnataka, India
[2] Vidyavardhaka Coll Engn, Dept Math, Gokulam 3 Stage, Mysuru 570002, Karnataka, India
来源：
JOURNAL OF ANALYSIS | 2023年 / 31卷 / 01期
关键词：
Restricted overpartitions; Congruences; Arithmetic properties;
D O I：
10.1007/s41478-022-00464-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For any non-negative integer n and for a fixed positive integer l, (p) over bar (l) (n) denote the number of overpartitions of n in which overlined parts are not multiples of l. In this paper, we prove congruences modulo 5, 7, 40, and powers of 2 for (p) over bar (l) (n), l is an element of {4, 8}.
引用
收藏
页码：459 / 474
页数：16
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