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arXiv · 1903.01850

A Proof of Sendov's Conjecture

G. M. Sofi
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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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G. M. Sofi. 2019-03-01. A Proof of Sendov's Conjecture. https://arxiv.org/abs/1903.01850

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