There does not exist a \(D(4)\)-sextuple (Q927706)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: There does not exist a \(D(4)\)-sextuple |
scientific article; zbMATH DE number 5285729
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | There does not exist a \(D(4)\)-sextuple |
scientific article; zbMATH DE number 5285729 |
Statements
There does not exist a \(D(4)\)-sextuple (English)
0 references
9 June 2008
0 references
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.
0 references
Diophantine \(m\)-tuples
0 references
0 references
0 references
0.82508016
0 references
0.82374513
0 references
0.8034581
0 references
0.79184985
0 references
0.7829045
0 references
0.7766368
0 references
0.7739951
0 references
