On the Sendov Conjecture for Sixth Degree Polynomials

DOI10.2307/2048768zbMath0738.30007OpenAlexW4229678020MaRDI QIDQ3983069

Johnny E. Brown

Publication date: 27 June 1992

Full work available at URL: https://doi.org/10.2307/2048768

zbMATH Keywords

Iliev-Sendov 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 and rational functions of one complex variable (30C10)

Related Items (3)

A quantitative result on polynomials with zeros in the unit disk ⋮ A quantitative result on Sendov's conjecture for a zero near the unit circle ⋮ Proof of the Sendov conjecture for polynomials of degree at most eight

Cites Work

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• On a conjecture of Sendov about the critical points of a polynomial
• On the Ilieff-Sendov conjecture
• On Ilieff's conjecture
• On a problem of Ilyeff
• Bemerkungen zu einer Vermutung von Ilieff
• On Ilyeff's conjecture
• Zur Lage der kritischen Punkte eines Polynoms. (The position of critical points of a polynomial)
• Conjectures on the Critical Points of a Polynomial
• On the zeros of a polynomial and its derivative
• On the Zeros of a Polynomial and its Derivative
• A Note on the Location of Critical Points of Polynomials
• Some properties of extremal polynomials for the Ilieff conjecture

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