Arithmetic properties of 3-regular partitions with distinct odd parts

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-01-17 DOI:10.1007/s12188-021-00230-6

V. S. Veena, S. N. Fathima

引用次数: 1

Abstract

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.

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具有不同奇部的3正则分区的算术性质

设\（pod_3（n）\）表示具有不同奇数部分（偶数部分不受限制）的n的3-正则分区的数目。本文利用Hecke本征形式理论证明了\（pod_3（n）\）的无穷同余族。利用模形式的算术性质研究了\（pod_3（n）\）的可分性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.