Bazı Pell Denklemlerinin Temel Çözümleri

Year 2013, Volume: 17 Issue: 1, 125 - 129, 01.04.2013

Merve Güney Refik Keskin

Abstract

Let a,b and n are positive integers. In this paper, we find continued fraction expansion of √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 √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.

Fundamental Solutions to Some Pell Equations

Abstract

Let

Keywords

Diophantine Equations, Pell Equations, Continued Fractions.

References

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• John P. Robertson, Solving the generalized Pell equation