A new approach to integer partitions
type: Item
instance of: scholarly article
title: A new approach to integer partitions
zbMATH Open document ID: 1443.11215
author: M. L. Matte
author: Jose Plínio O. Santos
published in: Bulletin of the Brazilian Mathematical Society. New Series
publication date: 2019-01-02T00:00:00Z
review text: The two-line matrix representing integer partitions was first introduced by Frobenius more than a century ago. This paper deals with a new approach to these matrix representations considering the lattice paths induced by the two-line matrix representations. Each path is associated to a partition of another integer, which turns out to have only distinct odd parts. These partitions are the object of study of the present article.
reviewed by: Mircea Merca
Mathematics Subject Classification ID: 11P81
Mathematics Subject Classification ID: 11P84
Mathematics Subject Classification ID: 05A19
zbMATH DE Number: 6997149
zbMATH Keywords: integer partitions
zbMATH Keywords: mock theta functions
zbMATH Keywords: matrix representation
zbMATH Keywords: partition identities
MaRDI profile type: Publication
full work available at URL: s00574-018-0082-z
OpenAlex ID: W2789928942
cites work: Bijections between lattice paths and plane partitions
cites work: Generalized Frobenius partitions
cites work: Q4218535
cites work: Q3156941
cites work: Identities for partitions generated by the unsigned versions of some mock theta functions
cites work: Bijective proofs using two-line matrix representations for partitions
cites work: A new approach and generalizations to some results about mock theta functions
cites work: Combinatorial interpretations as two-line array for the mock theta functions
cites work: New two-line arrays representing partitions
DOI: 10.1007/S00574-018-0082-Z
Wikidata QID: Q130120084
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description: scientific article; zbMATH DE number 6997149