A Proof of Sendov's Conjecture
General Mathematics
2020-03-06 v4
Abstract
The Sendovs conjecture asserts that if all the zeros of a polynomial p(z) lie in the closed unit disk, then there must be a critical point of p(z) within unit distance of each zero. The conjecture has been proved to be true for many special cases.Here we give a proof of the conjecture.
Cite
@article{arxiv.1903.01850,
title = {A Proof of Sendov's Conjecture},
author = {G. M. Sofi},
journal= {arXiv preprint arXiv:1903.01850},
year = {2020}
}
Comments
3 pages 1 figure The proof uses an entirely different idea