On simultaneous Pell equations \(x^{2}-(a^{2}-1)y^{2}=1\) and \(y^{2}-pz^{2}=1\)
type: Item
instance of: scholarly article
title: On simultaneous Pell equations \(x^{2}-(a^{2}-1)y^{2}=1\) and \(y^{2}-pz^{2}=1\)
zbMATH Open document ID: 1374.11023
author: Yunyun Qu
published in: Journal of Number Theory
publication date: 2017-11-21T00:00:00Z
Mathematics Subject Classification ID: 11B39
Mathematics Subject Classification ID: 11D61
zbMATH DE Number: 6810548
zbMATH Keywords: linear form in logarithms
zbMATH Keywords: Diophantine approximation
MaRDI profile type: Publication
full work available at URL: j.jnt.2017.08.014
OpenAlex ID: W2757586705
cites work: Complete solutions of the simultaneous Pell equations \(x^2 - 24y^2 = 1\) and \(y^2 - pz^2 = 1\)
cites work: Simultaneous Pell equations
cites work: THE EQUATIONS 3x2−2 = y2 AND 8x2−7 = z2
cites work: Powers of two as sums of three Fibonacci numbers
cites work: On solutions of the simultaneous {P}ell equations {\(x^2-(a^2-1)y^2=1\)} and {\(y^2-pz^2=1\)}
DOI: 10.1016/J.JNT.2017.08.014
description: scientific article; zbMATH DE number 6810548