New congruences for l-regular overpartition pairs

被引:0
|
作者
Shivashankar, C. [1 ]
Gireesh, D. S. [2 ]
机构
[1] Vidyavardhalca Coll Engn, Dept Math, Gokulam 3 Stage, Mysuru 570002, India
[2] MS Ramaiah Univ Appl Sci Peenya, Dept Math, Bengaluru 560058, Karnataka, India
关键词
Congruences; Theta function; Overpartition pair; l-regular partition; ARITHMETIC PROPERTIES;
D O I
10.1007/s13370-022-01018-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let (B) over bar (l)(n) denote the number of l-regular overpartition pairs of n. In this paper, we find some Ramanujan like congruences and infinite families of congruences for (B) over bar (l)(n) for l is an element of {3, 4, 5, 8}. For example, for n >= 0 and alpha >= 0, (B) over bar (3)(4(alpha)(+1) (6n + 5)) 0 (mod 9), (B) over bar (3)(12n + 10) 0 (mod 9), (B) over bar (5)(4n + 3) 0 (mod 8) and (B) over bar (8)(16n + 12) 0 (mod 16).
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页数:12
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