On the number of integer polynomials with multiplicatively dependent roots
Number Theory
2018-02-06 v2
Abstract
In this paper, we give some counting results on integer polynomials of fixed degree and bounded height whose distinct non-zero roots are multiplicatively dependent. These include sharp lower bounds, upper bounds and asymptotic formulas for various cases, although in general there is a logarithmic gap between lower and upper bounds.
Cite
@article{arxiv.1707.04965,
title = {On the number of integer polynomials with multiplicatively dependent roots},
author = {Arturas Dubickas and Min Sha},
journal= {arXiv preprint arXiv:1707.04965},
year = {2018}
}