Sendov conjecture for high degree polynomials

DOI10.1090/S0002-9939-2014-11888-0zbMath1297.30009arXiv1106.4126WikidataQ122961672 ScholiaQ122961672MaRDI QIDQ5401372

Jérome Dégot

Publication date: 13 March 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4126

zbMATH Keywords

inequalitieszeroesgeometry of polynomialsSendov conjecture

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)

Related Items (7)

Non-Archimedean Sendov's conjecture ⋮ A result related to the Sendov conjecture ⋮ A note on the structure of the zeros of a polynomial and Sendov's conjecture ⋮ Distribution of zeros and critical points of a polynomial, and Sendov's conjecture ⋮ Sendov's conjecture: a note on a paper of Dégot ⋮ Critical points of orthogonal polynomials ⋮ Four Theorems with Their Foci on Ellipses

Cites Work

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• Proof of the Sendov conjecture for polynomials of degree at most eight
• On a problem of Ilyeff
• Bemerkungen zu einer Vermutung von Ilieff
• Conjectures on the Critical Points of a Polynomial

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