On the Diophantine equation \(x^2-Dy^4=1\)
type: Item
instance of: scholarly article
zbMATH Open document ID: 0987.11018
author: Jiagui Luo
author: Pingzhi Yuan
publication date: 2002-02-18T00:00:00Z
Mathematics Subject Classification ID: 11D25
zbMATH DE Number: 1640504
zbMATH Keywords: quartic Diophantine equation
MaRDI profile type: Publication
title: On the Diophantine equation \(x^2-Dy^4=1\)
published in: Journal of Sichuan University. Natural Science Edition
review text: Let \(D\) be a positive integer. In the 1930's, W. Ljunggren gave a necessary and sufficient condition for the equation \(x^2-Dy^4= 1\) to have a positive integer solution \((x,y)\). In this paper the authors give a new and shorter proof of Ljunggren's result.
reviewed by: Le Maohua
description: scientific article; zbMATH DE number 1640504