On the Sendov conjecture for polynomials with simple zeros
Classical Analysis and ODEs
2018-05-16 v1 Analysis of PDEs
Abstract
The Sendov conjecture asserts that if all the zeros of a polynomial p lie in the closed unit disk then there must be a zero of p ' within unit distance of each zero. In this paper we give a partial result when p has simple zeros.
Keywords
Cite
@article{arxiv.1805.05681,
title = {On the Sendov conjecture for polynomials with simple zeros},
author = {Robert Dalmasso},
journal= {arXiv preprint arXiv:1805.05681},
year = {2018}
}