Proof of the Sendov conjecture for polynomials of degree nine

2017/05/20 by Zaizhao Meng, Meng, Zaizhao
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #FOS: Mathematics #Mathematical functions and polynomials #Polynomial and algebraic computation #math.CV

paper · pdf · doi:10.48550/arxiv.1705.07235

openalex publication_date 2017/05/20 · arxiv created 2018/05/17 · arxiv updated 2018/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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-sum to zeros of the polynomial.

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