On the relations between the zeros of a polynomial and its Mahler measure
Number Theory
2021-03-15 v1
Abstract
In this work, we are dealing with some properties relating the zeros of a polynomial and its Mahler measure. We provide estimates on the number of real zeros of a polynomial, lower bounds on the distance between the zeros of a polynomial and non-zeros located on the unit circle and a lower bound on the number of zeros of a polynomial in the disk .
Cite
@article{arxiv.2103.07126,
title = {On the relations between the zeros of a polynomial and its Mahler measure},
author = {Myrial Ounaies and Georges Rhin and Jean Marc Sac-Épée},
journal= {arXiv preprint arXiv:2103.07126},
year = {2021}
}