On \((\ell , m)\)-regular partitions with distinct parts
type: Item
instance of: scholarly article
title: On \((\ell , m)\)-regular partitions with distinct parts
zbMATH Open document ID: 1448.11185
author: Y. Aharonov
published in: The Ramanujan Journal
publication date: 2018-05-31T00:00:00Z
review text: A partition is an \((l,m)\)-regular partition of the positive integer \(n\) if none of the parts is divisible by \(l\) or \(m\). In this paper, the authors denote by \(a_{l,m}(n)\) the number of such partitions of \(n\) into distinct parts and provide infinite families of congruences modulo \(2\) for \(a_{3,5}(n)\).
reviewed by: Mircea Merca
Mathematics Subject Classification ID: 11P83
Mathematics Subject Classification ID: 05A17
zbMATH DE Number: 6879655
zbMATH Keywords: partition identities
zbMATH Keywords: theta-functions
zbMATH Keywords: partition congruences
zbMATH Keywords: regular partition
MaRDI profile type: Publication
full work available at URL: s11139-017-9920-7
OpenAlex ID: W2737220872
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DOI: 10.1007/S11139-017-9920-7
description: scientific article; zbMATH DE number 6879655