On the diophantine equation \(x^{10}{\pm{}}y^{10}=z^ 2\) (Q1196797)
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scientific article; zbMATH DE number 89564
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the diophantine equation \(x^{10}{\pm{}}y^{10}=z^ 2\) |
scientific article; zbMATH DE number 89564 |
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On the diophantine equation \(x^{10}{\pm{}}y^{10}=z^ 2\) (English)
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16 January 1993
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A new elementary proof, mainly based on congruences, is given to show that the equations \(x^{10} \pm y^{10} = z^ 2\) in integers \(x\), \(y\) and \(z\) have no nontrivial solutions.
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diophantine equations of degree ten
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