On the Diophantine equation \(\frac{ax^{n+2l}+c}{abt^2x^n+c}=by^2\) (Q663084)
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scientific article; zbMATH DE number 6006189
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Diophantine equation \(\frac{ax^{n+2l}+c}{abt^2x^n+c}=by^2\) |
scientific article; zbMATH DE number 6006189 |
Statements
On the Diophantine equation \(\frac{ax^{n+2l}+c}{abt^2x^n+c}=by^2\) (English)
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13 February 2012
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The authors give all solutions of the title equation for the values \(c=\pm1,\pm2,\pm4\). Their main tool is the theory of Pellian equations.
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minimal solution
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fundamental solution
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Jacobi symbol
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Diophantine equation
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