Diophantine equations in separated variables and polynomial power sums
Number Theory
2023-04-12 v1
Abstract
We consider Diophantine equations of the shape , where the polynomials and are elements of power sums. Using a finiteness criterion of Bilu and Tichy, we will prove that under suitable assumptions infinitely many rational solutions with a bounded denominator are only possible in trivial cases.
Cite
@article{arxiv.2008.10342,
title = {Diophantine equations in separated variables and polynomial power sums},
author = {Clemens Fuchs and Sebastian Heintze},
journal= {arXiv preprint arXiv:2008.10342},
year = {2023}
}
Comments
6 pages