Trinomials with given roots
Number Theory
2019-08-29 v2
Abstract
We show that, apart from some obvious exceptions, the number of trinomials vanishing at given complex numbers is bounded by an absolute constant. When the numbers are algebraic, we also bound effectively the degrees and the heights of these trinomials.
Cite
@article{arxiv.1908.01076,
title = {Trinomials with given roots},
author = {Yuri Bilu and Florian Luca},
journal= {arXiv preprint arXiv:1908.01076},
year = {2019}
}
Comments
Inaccuracies corrected following the referee's suggestions