Quadratic Diophantine equation \(x^2 - (t^2 - t)y^2 - (4t - 2)x + (4t^2 - 4t)y = 0\)
type: Item
instance of: scholarly article
title: Quadratic Diophantine equation \(x^2 - (t^2 - t)y^2 - (4t - 2)x + (4t^2 - 4t)y = 0\)
zbMATH Open document ID: 1198.11032
author: Arzu Özkoç
author: Ahmet Tekcan
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2010-05-27T00:00:00Z
full work available at URL: https://eudml.org/doc/244371
full work available at URL: vol33 2 11.html
review text: The authors consider the number of solutions of the Diophantine equation: \[ x^2-(t^2-t)y^2-(4t-2)x+(4t^2-4t)y=0 \] over \(\mathbb Z\) and Galois fields. The results are from well-known and well-studied Richaud-Degert radicands.
reviewed by: Richard A. Mollin
Mathematics Subject Classification ID: 11D09
Mathematics Subject Classification ID: 11D45
zbMATH DE Number: 5712984
zbMATH Keywords: quadratic Diophantine equation
zbMATH Keywords: Pell equation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5712984