On the Diophantine equation $f(x)f(y)=f(z)^n$ involving Laurent polynomials
Volume 151 / 2018
Colloquium Mathematicum 151 (2018), 111-122
MSC: Primary 11D72, 11D25; Secondary 11D41, 11G05.
DOI: 10.4064/cm6920-1-2017
Published online: 24 November 2017
Abstract
Using the theory of elliptic curves, we investigate nontrivial rational parametric solutions of the Diophantine equation $f(x)f(y)=f(z)^n$, where $n=1,2$ and $f(X)$ are some simple Laurent polynomials.
