New two-line arrays representing partitions
type: Item
instance of: scholarly article
title: New two-line arrays representing partitions
zbMATH Open document ID: 1246.05015
author: Andréia C. Ribeiro
author: Jose Plínio O. Santos
author: Paulo Mondek
published in: Annals of Combinatorics
publication date: 2012-01-24T00:00:00Z
review text: By representing a number as a vector and providing a representation of this vector as a sum of vectors, the authors present combinatorial interpretations for sums into two parameters, from which they obtain, as special cases, combinatorial interpretations of several partitions identities. These includes Rogers-Ramanujan identities, unrestricted partitions, and Lebesgue's partition identity. Two-line matrices are also used to provide combinatorial interpretations in some particular cases.
reviewed by: Ricardo Mamede
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 11P81
Mathematics Subject Classification ID: 11P84
zbMATH DE Number: 5999790
zbMATH Keywords: partitions
zbMATH Keywords: Rogers-Ramanujan identities
MaRDI profile type: Publication
full work available at URL: s00026-011-0099-0
OpenAlex ID: W2016722391
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DOI: 10.1007/S00026-011-0099-0
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description: scientific article; zbMATH DE number 5999790