Polynomial solutions for the Pell's equation
type: Item
instance of: scholarly article
title: Polynomial solutions for the Pell's equation
zbMATH Open document ID: 0812.11020
author: A. M. S. Ramasamy
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1994-09-19T00:00:00Z
review text: By a continued fraction analysis, fundamental solutions of \(x^ 2- dy^ 2= \pm1\) are found when the value of \(d\) is given by certain polynomials. He also proves that if \(u^ 2- 2v^ k= \pm1\), then \(x^ 2- dy^{2k} =\pm1\) when \((d; x,y)= (u^ 2\mp 4; u(v^ k\mp 1),v)\).
Mathematics Subject Classification ID: 11D09
zbMATH DE Number: 640256
zbMATH Keywords: Pell equation
zbMATH Keywords: fundamental solutions
reviewed by: Edward J. Barbeau
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 640256