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Criteria for Simultaneous Solutions of X2 − DY2 = c and x2 − Dy2 = −c
Published online by Cambridge University Press: 20 November 2018
Abstract
The purpose of this article is to provide criteria for the simultaneous solvability of the Diophantine equations ${{X}^{2}}-D{{Y}^{2}}\,=\,c$ and ${{x}^{2}}-D{{y}^{2}}=-c$ when $c\,\in \,\mathbb{Z}$, and $D\,\in \,\mathbb{N}$ is not a perfect square. This continues work in [6]–[8].
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- Research Article
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- Copyright © Canadian Mathematical Society 2002
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