On the Diophantine equation \(a^x+b^y=(a+2)^z\) (Q2400090)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Diophantine equation \(a^x+b^y=(a+2)^z\) |
scientific article |
Statements
On the Diophantine equation \(a^x+b^y=(a+2)^z\) (English)
0 references
25 August 2017
0 references
For any coprime positive integers \(a\) and \(b\) with \(a\equiv -1\pmod{b}\), the authors determine all positive integer solutions \(x,y,z\) of the Diophantine equation in the title. Their arguments mostly rely on a sophisticated application of Baker's method.
0 references
exponential Diophantine equation
0 references
Baker's method
0 references
0 references
