Solving the Pell equation using the fundamental element of the field \(\mathbb Q(\sqrt\Delta)\) (Q875668)
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scientific article; zbMATH DE number 5142500
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solving the Pell equation using the fundamental element of the field \(\mathbb Q(\sqrt\Delta)\) |
scientific article; zbMATH DE number 5142500 |
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Solving the Pell equation using the fundamental element of the field \(\mathbb Q(\sqrt\Delta)\) (English)
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13 April 2007
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The authors consider the Pellian equations \(X^2-DY^2=c\) with \(c\in\{\pm 1, \pm 2\}\) and obtain some recurrence relations for the solution set of these equations.
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Pell equations
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Continued fractions
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recurrence relations
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quadratic Diophantine equations
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