A bijection for Lebesgue's partition identity in the spirit of Sylvester
type: Item
instance of: scholarly article
title: A bijection for Lebesgue's partition identity in the spirit of Sylvester
zbMATH Open document ID: 0811.05003
DOI: 10.1016/0012-365X(94)90228-3
author: Christine Bessenrodt
published in: Discrete Mathematics
publication date: 1995-05-03T00:00:00Z
review text: By analysing hooks in the 2-modular Ferrers diagrams of partitions, a combinatorial proof of a well-known identity due to Lebesgue is given. The explicit bijection constructed here goes along the lines of a correspondence set up by Sylvester in his classic paper on partitions of 1882. The method of the author not only leads to generalisations of the Euler-Sylvester identities on odd parts and distinct parts, but applies to the analogous situation given by \(p\)-modular diagrams.
reviewed by: Krishnaswami Alladi
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 05A19
zbMATH DE Number: 681652
zbMATH Keywords: Lebesgue's identity
zbMATH Keywords: Gaussian polynomials
zbMATH Keywords: modular diagrams
zbMATH Keywords: partitions
zbMATH Keywords: odd parts
zbMATH Keywords: distinct parts
MaRDI profile type: Publication
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Wikidata QID: Q127120415
description: scientific article; zbMATH DE number 681652