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A Proof of Sendov's Conjecture

Published 1 Mar 2019 in math.GM | (1903.01850v4)

Abstract: The Sendovs conjecture asserts that if all the zeros of a polynomial p(z) lie in the closed unit disk, then there must be a critical point of p(z) within unit distance of each zero. The conjecture has been proved to be true for many special cases.Here we give a proof of the conjecture.

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