There does not exist a \(D(4)\)-sextuple
type: Item
instance of: scholarly article
title: There does not exist a \(D(4)\)-sextuple
zbMATH Open document ID: 1144.11029
author: Alan Filipin
published in: Journal of Number Theory
publication date: 2008-06-09T00:00:00Z
review text: A set \(D\) of \(m\) positive integers is called a \(D(n)\)-\(m\)-tuple if for each pair \((a,b)\in D^2\) we have \(ab+n\) is a perfect square. The author uses the methods and ideas introduced in [\textit{A. Dujella}, J. Reine Angew. Math. 566, 183--214 (2004; Zbl 1037.11019)] and obtains the result that there do not exist any \(D(4)\)-sextuples.
reviewed by: Volker Ziegler
Mathematics Subject Classification ID: 11D72
Mathematics Subject Classification ID: 11D09
zbMATH DE Number: 5285729
zbMATH Keywords: Diophantine \(m\)-tuples
MaRDI profile type: Publication
full work available at URL: j.jnt.2007.07.012
OpenAlex ID: W2068578745
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DOI: 10.1016/J.JNT.2007.07.012
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description: scientific article; zbMATH DE number 5285729