Fundamental Solutions to Some Pell Equations

Let a,b and n are positive integers. In this paper, we find continued fraction expansion of ;#8730;d when d=a^2 b^2+2b, a^2 b^2+b,a^2±2,a^2±a. We will use continued fraction expansion of ;#8730;d in order to get the fundamental solutions to the equations x²-dy²=±1 when d=a^2 b^2+2b, a^2 b^2+b,a^2±2,...

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Bibliographic Details

Published in:	Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Main Authors:	Merve Güney, Refik Keskin
Format:	Article
Language:	English
Published:	Sakarya University 2013-01-01
Subjects:	Diophant Denklemleri, Pell Denklemleri, Sürekli Kesirler.
Online Access:	http://www.saujs.sakarya.edu.tr/article/view/5000011751