Infinitely Many Congruences for k-Regular Partitions with Designated Summands

被引：5
|
作者：
da Silva, Robson [1 ]
Sellers, James A. [2 ]
机构：
[1] Univ Fed Sao Paulo UNIFESP, Av Cesare MG Lattes 1201, Sao Jose Dos Campos 12247014, SP, Brazil
[2] Penn State Univ, Dept Math, 104 McAllister Bldg, University Pk, PA 16802 USA
来源：
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2020年 / 51卷 / 02期
基金：
巴西圣保罗研究基金会;
关键词：
Regular partition; Designated summands; Congruence; Generating function;
D O I：
10.1007/s00574-019-00156-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Andrews et al. (Acta Arith. 105:51-66, 2002) introduced and studied the partition function PD(n), the number of partitions of n with designated summands. Recently, congruences involving the number of l-regular partitions with designated summands, denoted by PDl(n), have been explored for specific fixed values of l. In this paper, we provide several families containing infinitely many congruences for PDk(n) for various values of k.
引用
收藏
页码：357 / 370
页数：14
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