Congruences modulo 11 for broken 5-diamond partitions
type: Item
instance of: scholarly article
title: Congruences modulo 11 for broken 5-diamond partitions
zbMATH Open document ID: 1448.11183
author: Eric H. Liu
author: James A. Sellers
author: Ernest X. W. Xia
published in: The Ramanujan Journal
publication date: 2018-05-31T00:00:00Z
review text: The broken \(k\)-diamond partitions were introduced by \textit{G. E. Andrews} and \textit{P. Paule} [Acta Arith. 126, No. 3, 281--294 (2007; Zbl 1110.05010)] as a new class of combinatorial objects. In the last decade, the partition function \(\Delta_k(n)\) that counts the broken \(k\)-diamond partitions of \(n\) received considerable attention especially in combinatorics and number theory. In this paper, the authors provide infinite families of congruences and non-standard congruences modulo \(11\) for \(\Delta_5(n)\).
reviewed by: Mircea Merca
Mathematics Subject Classification ID: 11P83
Mathematics Subject Classification ID: 05A17
zbMATH DE Number: 6879663
zbMATH Keywords: broken \(k\)-diamond partition
zbMATH Keywords: congruence
zbMATH Keywords: theta function
MaRDI profile type: Publication
full work available at URL: s11139-017-9894-5
OpenAlex ID: W2609900324
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DOI: 10.1007/S11139-017-9894-5
description: scientific article; zbMATH DE number 6879663