An algorithm to determine the points with integral coordinates in certain elliptic curves
type: Item
instance of: scholarly article
title: An algorithm to determine the points with integral coordinates in certain elliptic curves
zbMATH Open document ID: 0923.11036
author: Paulo Ribenboim
published in: Journal of Number Theory
publication date: 1999-10-18T00:00:00Z
review text: An algorithm is described, that determines the terms of a Lucas sequence of the first kind which are of the form \(k\)-times a square. Some applications of this algorithm are discussed. The paper is based on previous ones [e.g., \textit{P. Ribenboim}, Port. Math. 46, 159-175 (1989; Zbl 0687.10005) and J. Sichuan Univ., Nat. Sci. Ed. 26, Spec. Issue, 196-200 (1989; Zbl 0709.11014)].
Mathematics Subject Classification ID: 11B39
Mathematics Subject Classification ID: 11G05
zbMATH DE Number: 1271762
zbMATH Keywords: elliptic curve
zbMATH Keywords: Lucas sequence
reviewed by: Krassimir Atanassov
MaRDI profile type: Publication
full work available at URL: jnth.1998.2290
OpenAlex ID: W2002126705
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DOI: 10.1006/JNTH.1998.2290
description: scientific article; zbMATH DE number 1271762