Finding the Fundamental Solutions of the Pell Equation $ x^{2}-dy^{2}=pm 1$ by determining the Right Neighbor of $F=(d,0,-1)$
Libertas Mathematica (new series), vol.38, pp.45-57, 2018 (Peer-Reviewed Journal)
- Publication Type: Article / Article
- Volume: 38
- Publication Date: 2018
- Journal Name: Libertas Mathematica (new series)
- Journal Indexes: MathSciNet
- Page Numbers: pp.45-57
- Istanbul University Affiliated: Yes
Abstract
In this work we determine the fundamental solutions of the Pell equation $%
x^{2}-dy^{2}=\pm 1$ by determining the right neighbors of indefinite forms $%
F=(d,0,-1)$ of discriminant $\Delta =4d$ for some specific values
of $d $.