On the determination of solutions of simultaneous Pell equations \(x^2 - (a^2 - 1) y^2 = y^2 - pz^2 = 1\)
type: Item
instance of: scholarly article
title: On the determination of solutions of simultaneous Pell equations \(x^2 - (a^2 - 1) y^2 = y^2 - pz^2 = 1\)
zbMATH Open document ID: 1413.11064
author: Refik Keskin
author: Olcay Karaatli
author: Ümmügülsüm Öğüt
author: Zafer Ṣiar
published in: Periodica Mathematica Hungarica
publication date: 2018-03-14T00:00:00Z
Mathematics Subject Classification ID: 11D25
Mathematics Subject Classification ID: 11B37
Mathematics Subject Classification ID: 11B39
zbMATH DE Number: 6850230
zbMATH Keywords: Pell equations
zbMATH Keywords: simultaneous Pell equations
zbMATH Keywords: generalized Fibonacci and Lucas sequences
describes a project that uses: Magma
MaRDI profile type: Publication
full work available at URL: s10998-017-0203-2
OpenAlex ID: W2746014900
cites work: Complete solutions of the simultaneous Pell equations \(x^2 - 24y^2 = 1\) and \(y^2 - pz^2 = 1\)
cites work: On the number of solutions of simultaneous Pell equations
cites work: The Magma algebra system. I: The user language
cites work: Q3605252
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cites work: Q5413459
cites work: On solutions of the simultaneous {P}ell equations {\(x^2-(a^2-1)y^2=1\)} and {\(y^2-pz^2=1\)}
cites work: Q5828064
cites work: On squares in certain Lucas sequences
cites work: Primitive Divisors of Lucas and Lehmer Sequences
cites work: On the number of solutions of $x^2-4m(m+1)y^2=y^2-bz^2=1$
DOI: 10.1007/S10998-017-0203-2
description: scientific article; zbMATH DE number 6850230