CONGRUENCES FOR 5-REGULAR PARTITIONS WITH ODD PARTS OVERLINED

被引：0

作者：

Naika, M. S. Mahadeva ^{[1
]}

Harishkumar, T. ^{[1
]}

机构：

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

来源：

JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2022年 / 15卷 / 3A期

关键词：

Congruences; regular partitions; over partitions; ARITHMETIC PROPERTIES; OVERPARTITIONS; POWERS;

D O I：

10.47013/15.3.5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (alpha) over bar5 (n) denote the number of 5-regular partitions of n with the first occurrence of an odd number may be overlined. In this paper, we establish many infinite families of congruences modulo powers of 2 for (alpha) over bar5 (n). For example, for all n = 0 and ss = 0, (alpha) over bar5 (16(.)52(beta+1)n + k1(.)5(2 beta- 1)/3) = 0 (mod 16), where k(1) is an element of{142, 238}.

引用

页码：445 / 465

页数：21

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