English

Proof of Sendov's conjecture

Complex Variables 2022-10-25 v2 Functional Analysis

Abstract

Sendov's conjecture, which was first introduced in the last 50s, asserts that if all the zeros of a polynomial pp lie in the closed unit disk then for each zero there must be a critical point of pp within unit distance. This paper confirms the conjecture.

Keywords

Cite

@article{arxiv.2210.08720,
  title  = {Proof of Sendov's conjecture},
  author = {Stephen Drury and Minghua Lin},
  journal= {arXiv preprint arXiv:2210.08720},
  year   = {2022}
}

Comments

There is a gap in the proof. We are trying to fix it

R2 v1 2026-06-28T03:46:25.913Z