On the Diophantine equation \(x^2-Dy^4=1\) (Q2735528)
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scientific article; zbMATH DE number 1640504
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Diophantine equation \(x^2-Dy^4=1\) |
scientific article; zbMATH DE number 1640504 |
Statements
18 February 2002
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quartic Diophantine equation
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On the Diophantine equation \(x^2-Dy^4=1\) (English)
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Let \(D\) be a positive integer. In the 1930's, W. Ljunggren gave a necessary and sufficient condition for the equation \(x^2-Dy^4= 1\) to have a positive integer solution \((x,y)\). In this paper the authors give a new and shorter proof of Ljunggren's result.
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