On the solutions of a parametric family of cubic Thue equations
type: Item
instance of: scholarly article
title: On the solutions of a parametric family of cubic Thue equations
zbMATH Open document ID: 1254.11036
author: Alain Togbé
published in: Bulletin of the Brazilian Mathematical Society. New Series
publication date: 2009-09-04T00:00:00Z
review text: The author considers the following parametric family of Thue equations \[ X^3-n(n^2+n+3)X^2Y-(n^3+2n^2+3n+3)XY^2-Y^3=\pm 1, \] with \(n\geq 0\). In particular he proves that the only solutions are \((X,Y)=\pm (1,0),\pm (0,1)\) for \(n\geq 1\). In case of \(n=0\) he finds eight further solutions.
reviewed by: Volker Ziegler
Mathematics Subject Classification ID: 11D59
Mathematics Subject Classification ID: 11D25
Mathematics Subject Classification ID: 11Y50
zbMATH DE Number: 5601764
zbMATH Keywords: parametric Thue equations
zbMATH Keywords: cubic equations
zbMATH Keywords: Baker's method
describes a project that uses: KANT/KASH
MaRDI profile type: Publication
full work available at URL: s00574-008-0003-7
OpenAlex ID: W2078630332
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DOI: 10.1007/S00574-008-0003-7
description: scientific article; zbMATH DE number 5601764