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arXiv · 1806.00759

Roots of polynomials and the Sendov's conjecture

Huan Xiao
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Abstract

In this paper we first prove that a simple root of a polynomial satisfies the Sendov's conjecture. As the multiple roots trivially satisfy the Sendov's conjecture we conclude that the Sendov's conjecture holds true.

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Huan Xiao. 2018-06-03. Roots of polynomials and the Sendov's conjecture. https://arxiv.org/abs/1806.00759

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