Fundamental Solutions to Some Pell Equations

Abstract

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,a^2±a

Keywords

• Diophant Denklemleri, Pell Denklemleri, Sürekli Kesirler.