Arithmetic properties of 3-regular partitions with distinct odd parts

被引：2

作者：

Veena, V. S. ^{[1
]}

Fathima, S. N. ^{[1
]}

机构：

[1] Pondicherry Univ, Dept Math, Pondicherry 605014, India

来源：

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG | 2021年 / 91卷 / 01期

关键词：

Partitions; Modular forms; Congruences; Eta quotients;

D O I：

10.1007/s12188-021-00230-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let pod(3)(n) denote the number of 3-regular partitions of n with distinct odd parts (and even parts are unrestricted). In this article, we prove an infinite family of congruences for pod(3)(n) using the theory of Hecke eigenforms. We also study the divisibility properties of pod(3)(n) using arithmetic properties of modular forms.

引用

页码：69 / 80

页数：12

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