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Proof of Sendov's conjecture
Published 17 Oct 2022 in math.CV and math.FA | (2210.08720v2)
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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