Fundamental Solutions to Some Pell Equations

Autor: Merve Güney, Refik Keskin
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Vol 17, Iss 1 (2013)
Druh dokumentu: article
ISSN: 1301-4048
2147-835X
DOI: 10.5505/saufbe.2013.59455
Popis: 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
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