English

Proof of the Sendov conjecture for polynomials of degree nine

Complex Variables 2018-05-18 v3

Abstract

In this paper, we prove the Sendov conjecture for polynomials of degree nine. We use a new idea to obtain new upper bound for the σ\sigma-sum to zeros of the polynomial.

Keywords

Cite

@article{arxiv.1705.07235,
  title  = {Proof of the Sendov conjecture for polynomials of degree nine},
  author = {Zaizhao Meng},
  journal= {arXiv preprint arXiv:1705.07235},
  year   = {2018}
}