On 3- and 9-Regular Cubic Partitions

被引：0

作者：

Gireesh, D. S. ^{[1
]}

Shivashankar, C. ^{[1
]}

Naika, M. S. Mahadeva ^{[2
]}

机构：

[1] MS Ramaiah Univ Appl Sci, Dept Math, Bengaluru 560058, Karnataka, India

[2] Bengaluru Cent Univ, Dept Math, Cent Coll Campus, Bengaluru 560001, Karnataka, India

来源：

JOURNAL OF INTEGER SEQUENCES | 2020年 / 23卷 / 07期

关键词：

partition; 3-regular cubic partition; 9-regular cubic partition; congruence; PAIRS MODULO POWERS; CONTINUED-FRACTION; CONGRUENCES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let a(3) (n) and a(9) (n) be 3- and 9-regular cubic partitions of n. In this paper, we establish several infinite families of congruences modulo powers of 3. For example, for all non-negative integers n and alpha we find that a(3) (3(2 alpha)n + 3(2 alpha) - 1/4) equivalent to 0 (mod 3(alpha)) and a(9) (3(alpha+1)n + 3(alpha+1) - 1) equivalent to 0 (mod 3(alpha+1)).

引用

页数：12

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