Quadratic Diophantine equation \(x^2 - (t^2 - t)y^2 - (4t - 2)x + (4t^2 - 4t)y = 0\) (Q974327)
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scientific article; zbMATH DE number 5712984
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quadratic Diophantine equation \(x^2 - (t^2 - t)y^2 - (4t - 2)x + (4t^2 - 4t)y = 0\) |
scientific article; zbMATH DE number 5712984 |
Statements
Quadratic Diophantine equation \(x^2 - (t^2 - t)y^2 - (4t - 2)x + (4t^2 - 4t)y = 0\) (English)
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27 May 2010
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The authors consider the number of solutions of the Diophantine equation: \[ x^2-(t^2-t)y^2-(4t-2)x+(4t^2-4t)y=0 \] over \(\mathbb Z\) and Galois fields. The results are from well-known and well-studied Richaud-Degert radicands.
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quadratic Diophantine equation
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Pell equation
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