1-Shell totally symmetric plane partitions (TSPPs) modulo powers of 5

被引：7

作者：

Chern, Shane ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, Univ Pk, University Pk, PA 16802 USA

来源：

RAMANUJAN JOURNAL | 2021年 / 55卷 / 02期

关键词：

Partitions; 1-Shell TSPPs; Congruences; Powers of 5;

D O I：

10.1007/s11139-020-00306-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let s(n) be the number of 1-shell totally symmetric plane partitions (TSPPs) of n. In this paper, an infinite family of congruences modulo powers of 5 for s(n) will be deduced through an elementary approach. Namely, s(2 . 5(2 alpha-1)n + 5(2 alpha-1)) equivalent to 0 (mod 5(alpha)).

引用

页码：713 / 731

页数：19

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