Finding the Fundamental Solutions of the Pell Equation $% x^{2}-dy^{2}=\pm 1$ by determining the Right Neighbor of $F=(d,0,-1)$
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 $.
x^{2}-dy^{2}=\pm 1$ by determining the right neighbors of indefinite forms $%
F=(d,0,-1)$ of discriminant $\Delta =4d$ for some specific values
of $d $.
Keywords
Indefinite form, right neighbor, fundamental solution, Pell equation.
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PDFDOI: http://dx.doi.org/10.14510%2Flm-ns.v0i0.1366