Proof of the Sendov conjecture for polynomials of degree at most eight

DOI10.1006/jmaa.1999.6267zbMath0927.30006OpenAlexW2006381381WikidataQ122860760 ScholiaQ122860760MaRDI QIDQ1288154

Johnny E. Brown, Guangping Xiang

Publication date: 9 November 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0eee369894d1ae2cb092e04da81cb6898067d8b6

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 (12)

Non-Archimedean Sendov's conjecture ⋮ A quadratic approximation to the Sendov radius near the unit circle ⋮ Some Results Concerning Sendov Conjecture ⋮ A result related to the Sendov conjecture ⋮ A note on the structure of the zeros of a polynomial and Sendov's conjecture ⋮ On Sendov's conjecture ⋮ Distribution of zeros and critical points of a polynomial, and Sendov's conjecture ⋮ A quantitative result on polynomials with zeros in the unit disk ⋮ On the location of critical points of a polynomial ⋮ Sendov conjecture for high degree polynomials ⋮ A quantitative result on Sendov's conjecture for a zero near the unit circle ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• On a conjecture of Sendov about the critical points of a polynomial
• On the Ilieff-Sendov conjecture
• On Ilieff's conjecture
• On the Sendov conjecture for polynomials with at most six distinct roots
• On a problem of Ilyeff
• On Ilyeff's conjecture
• Conjectures on the Critical Points of a Polynomial
• A proof of the sendov conjecture for polynomials of degree seven
• On the Sendov Conjecture for Sixth Degree Polynomials
• THE SENDOV CONJECTURE FOR POLYNOMIALS WITH AT MOST SEVEN DISTINCT ZEROS
• Some properties of extremal polynomials for the Ilieff conjecture
• Corrigendum: ‘on The Sendov‐Ilyeff Conjecture’

This page was built for publication: Proof of the Sendov conjecture for polynomials of degree at most eight