A simple criterion for solvability of both \(X^2-DY^2=c\) and \(x^2-Dy^2=-c\) (Q5943319)
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scientific article; zbMATH DE number 1642943
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A simple criterion for solvability of both \(X^2-DY^2=c\) and \(x^2-Dy^2=-c\) |
scientific article; zbMATH DE number 1642943 |
Statements
A simple criterion for solvability of both \(X^2-DY^2=c\) and \(x^2-Dy^2=-c\) (English)
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16 September 2001
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Let \(D\) be a nonsquare positive integer and let \(c\) be an integer. In this paper, the author provides a simple criterion for the solvability of systems of simultaneous Diophantine equations \(X^2-DY^2=c, x^2-Dy^2=-c\). The proof is elementary.
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quadratic Diophantine equations
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systems of simultaneous Diophantine equations
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