On the equation \(\varphi(| x^m+y^m|)=| x^n+ y^n|\) (Q1283628)
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scientific article; zbMATH DE number 1275963
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the equation \(\varphi(| x^m+y^m|)=| x^n+ y^n|\) |
scientific article; zbMATH DE number 1275963 |
Statements
On the equation \(\varphi(| x^m+y^m|)=| x^n+ y^n|\) (English)
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20 June 1999
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For any positive integer \(k\), let \(\varphi(k)\) be the Euler totient function of \(k\). All nontrivial integer solutions \((x,y,m,n)\) of the diophantine equation \(\varphi(| x^m+y^m|)=| x^n+y^n|\) are found.
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Lucas sequence
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Euler totient function
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exponential diophantine equation
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