Proof of the Sendov conjecture for polynomials of degree nine

Zaizhao Meng

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arXiv · 1705.07235

Proof of the Sendov conjecture for polynomials of degree nine

Zaizhao Meng

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Abstract

In this paper, we prove the Sendov conjecture for polynomials of degree nine. We use a new idea to obtain new upper bound for the $\sigma-$sum to zeros of the polynomial.

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Zaizhao Meng. 2017-05-20. Proof of the Sendov conjecture for polynomials of degree nine. https://arxiv.org/abs/1705.07235

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