CONGRUENCES FOR l - REGULAR OVERPARTITION FOR l ∈{5,6,8}

被引:4
|
作者
Saikia, Nipen [1 ]
Boruah, Chayanika [1 ]
机构
[1] Rajiv Gandhi Univ, Dept Math, Rono Hills, Doimukh 791112, Arunachal Prade, India
来源
关键词
l-Regular overpartition; partition congruence; Ramanujan's theta-function; PARTITION-FUNCTIONS; POWERS;
D O I
10.1007/s13226-017-0227-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let (A) over bar (l)(n) denote the number of overpartitions of a non-negative integer n with no part divisible by l, where l is a positive integer. In this paper, we prove infinite family of congruences for (A) over bar (5)(n) modulo 4, (A) over bar (6)(n) modulo 3, and (A) over bar (8)(n) modulo 4. In the process, we also prove some other congruences.
引用
收藏
页码:295 / 308
页数:14
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