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arXiv · 1805.05681

On the Sendov conjecture for polynomials with simple zeros

Robert Dalmasso
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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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Robert Dalmasso. 2018-05-15. On the Sendov conjecture for polynomials with simple zeros. https://arxiv.org/abs/1805.05681

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