A combinatorial proof of the sum of \(q\)-cubes
type: Item
instance of: scholarly article
title: A combinatorial proof of the sum of \(q\)-cubes
zbMATH Open document ID: 1050.05012
author: Kristina C. Garrett
author: Kristen Hummel
published in: The Electronic Journal of Combinatorics
publication date: 2004-02-05T00:00:00Z
full work available at URL: https://eudml.org/doc/123879
full work available at URL: v11i1r9.html
review text: A \(q\)-analogue of the classical formula for the sum of cubes and its bijective proof using integer partitions has been given. This \(q\)-analogue maintains some combinatorial properties of the classical formula. The authors express their hope for the existence of other \(q\)-analogues of the sum of the cubes formula. The reviewer feels that this \(q\)-analogue of the cubes formula is not an isolated result. So it may be of interest to look for an analytical proof of this formula.
reviewed by: S. Ahmad Ali
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 05A30
Mathematics Subject Classification ID: 11P81
zbMATH DE Number: 2038355
zbMATH Keywords: sum of cubes
zbMATH Keywords: bijective proof
zbMATH Keywords: integer position
zbMATH Keywords: integer partitions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2038355