On the Diophantine equations $z^2=f(x)^2 \pm g(y)^2$ concerning Laurent polynomials

Arman Shamsi Zargar; Yong Zhang

arxiv: 1706.02925 · v1 · pith:7I4TLQAOnew · submitted 2017-06-08 · 🧮 math.NT

On the Diophantine equations z²=f(x)² pm g(y)² concerning Laurent polynomials

Yong Zhang , Arman Shamsi Zargar This is my paper

classification 🧮 math.NT

keywords diophantineequationslaurentpolynomialsrationalsolutionsconcerningcurves

0 comments

read the original abstract

By the theory of elliptic curves, we study the nontrivial rational parametric solutions and rational solutions of the Diophantine equations $z^2=f(x)^2 \pm g(y)^2$ for some simple Laurent polynomials $f$ and $g$.

This paper has not been read by Pith yet.

On the Diophantine equations z²=f(x)² pm g(y)² concerning Laurent polynomials

discussion (0)