Roots of polynomials and the Sendov's conjecture

2018/06/03 by Huan Xiao, Xiao, Huan
Mathematics · #12D10 #30C10 #30C15 #FOS: Mathematics #General Mathematics (math.GM) #math.GM #msc:12D10 #msc:30C10 #msc:30C15

paper · pdf · doi:10.48550/arxiv.1806.00759

There is an error in the proof of Theorem 3.2

arxiv created 2019/04/01 · arxiv updated 2019/04/02

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.

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