A note on the Erdős-Straus conjecture
type: Item
instance of: scholarly article
title: A note on the Erdős-Straus conjecture
zbMATH Open document ID: 1374.11062
published in: Periodica Mathematica Hungarica
publication date: 2017-03-31T00:00:00Z
review text: The authors consider the Erdős-Straus equation \(\frac{c}{n}=\frac 1x+\frac 1y+\frac 1z\), where \(n,c\) are coprime positive integers. They provide a formula for the number \(f(n,c)\) of positive integral solutions \((x,y,z)\) of the equation. The conjecture of Erdős and Straus saying that \(f(n,4)\geq 1\) for all \(n\geq 2\) is proved under certain assumptions.
reviewed by: Lajos Hajdu
Mathematics Subject Classification ID: 11D68
Mathematics Subject Classification ID: 11D72
zbMATH DE Number: 6699248
zbMATH Keywords: Egyptian fractions
zbMATH Keywords: Diophantine equation
zbMATH Keywords: number of solutions
author: S. Subburam
author: Alain Togbé
MaRDI profile type: Publication
full work available at URL: s10998-015-0109-9
OpenAlex ID: W2270239307
Wikidata QID: Q123124066
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DOI: 10.1007/S10998-015-0109-9
description: scientific article; zbMATH DE number 6699248