Proof of Sendov's conjecture

2022/10/17 by Drury, Stephen, Lin, Minghua
#Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2210.08720

Abstract

Sendov's conjecture, which was first introduced in the last 50s, asserts that if all the zeros of a polynomial p lie in the closed unit disk then for each zero there must be a critical point of p within unit distance. This paper confirms the conjecture.

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