The Diophantine equation \(ax^2+bxy+cy^2=N\), \(D=b^2-4ac>0\) (Q1396447)
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: The Diophantine equation \(ax^2+bxy+cy^2=N\), \(D=b^2-4ac>0\) |
scientific article; zbMATH DE number 1943339
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Diophantine equation \(ax^2+bxy+cy^2=N\), \(D=b^2-4ac>0\) |
scientific article; zbMATH DE number 1943339 |
Statements
The Diophantine equation \(ax^2+bxy+cy^2=N\), \(D=b^2-4ac>0\) (English)
0 references
30 June 2003
0 references
The author makes more accessible an algorithm, due to Lagrange, for deciding the solvability of the equation in the title. This generalizes earlier work by the author. Moreover, he covers a case missed by Lagrange where \(D=5\). The paper is easy to read, well illustrated, and well presented.
0 references
quadratic Diophantine equation
0 references
continued fraction
0 references
unimodular matrix
0 references
