ARITHMETIC PROPERTIES FOR 7-REGULAR PARTITION TRIPLES

被引：2

作者：

Chern, Shane ^{[1
]}

Tang, Dazhao ^{[2
]}

Xia, Ernest X. W. ^{[3
]}

机构：

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

[2] Chongqing Univ, Coll Math & Stat, Huxi Campus LD206, Chongqing 401331, Peoples R China

[3] Jiangsu Univ, Dept Math, Zhenjiang 212013, Jiangsu, Peoples R China

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2020年 / 51卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Partitions; arithmetic properties; l-regular partition triples; L-REGULAR PARTITIONS; RAMANUJAN-TYPE CONGRUENCES; MODULO POWERS; PROOF;

D O I：

10.1007/s13226-020-0426-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T-l(n) denote the number of l-regular partition triples of n. In this paper, we consider the arithmetic properties of T-7(n). An infinite family of congruences modulo powers of 7 and several congruences modulo 7 are established. For instance, we prove that for all n >= 0 and alpha >= 1, T-7 (7(2 alpha)n + 3 x 7(2 alpha) - 3/4) equivalent to 0 (mod 7(alpha)).

引用

页码：717 / 733

页数：17

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