- Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 17 Issue: 1
- Bazı Pell Denklemlerinin Temel Çözümleri
Bazı Pell Denklemlerinin Temel Çözümleri
Authors : Merve Güney, Refik Keskin
Pages : 125-129
Doi:10.16984/saufbed.23930
View : 22 | Download : 7
Publication Date : 2013-04-01
Article Type : Other
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±aKeywords : Diophant Denklemleri, Pell Denklemleri, Sürekli Kesirler.