Roots of polynomials and the Sendov's conjecture
General Mathematics
2019-04-02 v2
Abstract
In this paper we first prove that a simple root of a polynomial satisfies the Sendov's conjecture. As the multiple roots trivially satisfy the Sendov's conjecture we conclude that the Sendov's conjecture holds true.
Cite
@article{arxiv.1806.00759,
title = {Roots of polynomials and the Sendov's conjecture},
author = {Huan Xiao},
journal= {arXiv preprint arXiv:1806.00759},
year = {2019}
}
Comments
There is an error in the proof of Theorem 3.2