Absolute real root separation
Number Theory
2017-12-06 v1
Abstract
While the separation (the minimal nonzero distance) between roots of a polynomial is a classical topic, its absolute counterpart (the minimal nonzero distance between their absolute values) does not seem to have been studied much. We present the general context and give tight bounds for the case of real roots.
Keywords
Cite
@article{arxiv.1606.01131,
title = {Absolute real root separation},
author = {Yann Bugeaud and Andrej Dujella and Tomislav Pejkovic and Bruno Salvy},
journal= {arXiv preprint arXiv:1606.01131},
year = {2017}
}