Proof of The Sendov Conjecture for Polynomials of Degree at Most Eight

Johnny E. Brown, Guangping Xiang

Type: Article

Publication Date: 1999-04-01

Citations: 41

DOI: https://doi.org/10.1006/jmaa.1999.6267

View Publication

Locations

Journal of Mathematical Analysis and Applications - View

Similar Works

Action	Title	Year	Authors
+	A Proof of Sendov's Conjecture	2019	G. M. Sofi
+	Proof of Sendov's conjecture	2022	S. A. Drury Minghua Lin
+	On the Sendov conjecture for polynomials with simple zeros	2018	Robert Dalmasso
+	Sendov's Conjecture: A note on a paper of Dégot	2018	Taboka Chalebgwa
+	Sendov's Conjecture: A note on a paper of D\'{e}got	2018	Taboka Chalebgwa
+	Some Results for the Sendov Conjecture	1996	Angelina Byrne
+	The Sendov conjecture for polynomials with at most seven distinct zeros	1996	Julius Borcea
+	THE SENDOV CONJECTURE FOR POLYNOMIALS WITH AT MOST SEVEN DISTINCT ZEROS	1996	LULIUS BORCEA
+	Sendov conjecture for high degree polynomials	2011	Jérôme Dégot
+	Sendov conjecture for high degree polynomials	2011	Jérôme Dégot
+	Results Pertaining to the Sendov Conjecture	1997	Angelina Byrne
+	A proof of the sendov conjecture for polynomials of degree seven	1997	Johnny E. Brown
+	A quantitative result on Sendov's conjecture for a zero near the unit circle	2011	Tomohiro Chijiwa
+ PDF Chat	On a Problem Related to The Conjecture of Sendov About The Critical Points of a Polynomial	1987	Q. I. Rahman Q. M. Tariq
+ PDF Chat	A quantitative result on polynomials with zeros in the unit disk	2010	Tomohiro Chijiwa
+	Sendov's conjecture for sufficiently high degree polynomials	2020	Terence Tao
+	On the Sendov conjecture and the critical points of polynomials	2013	Zaizhao Meng
+	On the Sendov Conjecture for Polynomials with at Most Six Distinct Roots	1996	Iulius Borcea
+	Proof of the Sendov conjecture for polynomials of degree nine	2017	Zaizhao Meng
+ PDF Chat	A result related to the Sendov conjecture	2023	Robert Dalmasso

Works That Cite This (39)

Action	Title	Year	Authors
+	Expansivity theory and proof of Sendov's conjecture	2019	Theophilus Agama
+	Sendov's conjecture for sufficiently high degree polynomials	2020	Terence Tao
+	Sendov conjecture for high degree polynomials	2014	Jérôme Dégot
+	Limited polynomials	2019	Theophilus Agama
+ PDF Chat	Non-Archimedean Sendov’s Conjecture	2022	Daebeom Choi Seewoo Lee
+ PDF Chat	A note on the structure of the zeros of a polynomial and Sendov's conjecture	2023	G. M. Sofi Wali Mohammad Shah
+	Some Results Concerning Sendov Conjecture	2023	Mohammad Ibrahim Mir Ishfaq Nazir Irfan Ahmad Wani
+	Maximal and linearly inextensible polynomials	2006	Julius Borcea
+	Maximal and inextensible polynomials and the geometry of the spectra of normal operators	2003	Julius Borcea
+ PDF Chat	Sendov’s conjecture for sufficiently-high-degree polynomials	2022	Terence Tao

Works Cited by This (18)

Action	Title	Year	Authors
+	Research Problems in Function Theory	1967	W. K. Hayman
+	Geometry of Polynomials	1949	Morris Marden
+ PDF Chat	On the Ilieff-Sendov conjecture	1988	Johnny E. Brown
+	Corrigendum: ‘on The Sendov‐Ilyeff Conjecture’	1996	Emmanuel S. Katsoprinakis
+ PDF Chat	On the Sendov conjecture for sixth degree polynomials	1991	Johnny E. Brown
+	A proof of the sendov conjecture for polynomials of degree seven	1997	Johnny E. Brown
+	On a conjecture of Sendov about the critical points of a polynomial	1985	Borislav Bojanov Q. I. Rahman Jan Szynal
+ PDF Chat	Some properties of extremal polynomials for the Ilieff conjecture	1972	Dean Phelps René Rodríguez
+ PDF Chat	On a problem of Ilyeff	1968	Zalman Rubinstein
+	Conjectures on the Critical Points of a Polynomial	1983	Morris Marden