On the Diophantine equation $f(x)f(y)=f(z)^n$ involving Laurent polynomials

Yong Zhang

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arXiv · 1608.03809

On the Diophantine equation $f(x)f(y)=f(z)^n$ involving Laurent polynomials

Yong Zhang

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Abstract

By the theory of elliptic curves, we investigate the 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.

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Yong Zhang. 2016-08-11. On the Diophantine equation $f(x)f(y)=f(z)^n$ involving Laurent polynomials. https://arxiv.org/abs/1608.03809

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