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On the Sendov conjecture for polynomials with simple zeros (1805.05681v1)
Published 15 May 2018 in math.CA and math.AP
Abstract: The Sendov conjecture asserts that if all the zeros of a polynomial p lie in the closed unit disk then there must be a zero of p ' within unit distance of each zero. In this paper we give a partial result when p has simple zeros.
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