Root separation for irreducible integer polynomials
Number Theory
2014-02-26 v2
Abstract
We establish new results on root separation of integer, irreducible polynomials of degree at least four. These improve earlier bounds of Bugeaud and Mignotte (for even degree) and of Beresnevich, Bernik, and Goetze (for odd degree).
Cite
@article{arxiv.1007.3406,
title = {Root separation for irreducible integer polynomials},
author = {Yann Bugeaud and Andrej Dujella},
journal= {arXiv preprint arXiv:1007.3406},
year = {2014}
}
Comments
8 pages; revised version; to appear in Bull. Lond. Math. Soc