Sendov’s conjecture for sufficiently-high-degree polynomials

Terence Tao

Type: Article

Publication Date: 2022-01-01

Citations: 7

DOI: https://doi.org/10.4310/acta.2022.v229.n2.a3

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Works That Cite This (9)

Action	Title	Year	Authors
+ PDF Chat	Number of components of polynomial lemniscates: a problem of Erdös, Herzog, and Piranian	2024	Subhajit Ghosh Koushik Ramachandran
+ PDF	A note on the structure of the zeros of a polynomial and Sendov's conjecture	2023	G. M. Sofi Wali Mohammad Shah
+ PDF Chat	Zeros of Fractional Derivatives of Polynomials	2024	Torre Caparatta Sebastian Pauli Filip Saidak
+	Three open problems in function theoretic operator theory	2024	Pamela Gorkin Elodie Pozzi
+	On the number of components of random polynomial lemniscates	2024	Subhajit Ghosh
+ PDF Chat	A result related to the Sendov conjecture	2023	Robert Dalmasso
+	Critical Points of Polynomials With Roots on the Unit Circle	2023	Fan Ge S. M. Gonek
+	Non-archimedean Sendov's Conjecture	2021	Daebeom Choi Seewoo Lee
+	POLYNOMIALS WHOSE ROOTS ARE THE DIFFERENCES OF THE ROOTS OF A GIVEN POLYNOMIAL	2025	M. A. Facas Vicente José Vitöria

Works Cited by This (21)

Action	Title	Year	Authors
+	GENERALIZATION OF A CONJECTURE IN THE GEOMETRY OF POLYNOMIALS	2002	Bl. Sendov
+	Research Problems in Function Theory	1967	W. K. Hayman
+	A quantitative result on Sendov's conjecture for a zero near the unit circle	2011	Tomohiro Chijiwa
+	Analytic Theory of Polynomials	2002	Q I Rahman Gerhard Schmeißer
+	Ilyeff's Conjecture on a Corona	1993	Viorel Vâjâitu Alexandru Zaharescu
+ PDF	On the critical points of a polynomial	1998	Abdul Aziz B. A. Zargar
+	On a conjecture of Sendov about the critical points of a polynomial	1985	Borislav Bojanov Q. I. Rahman Jan Szynal
+	Proof of The Sendov Conjecture for Polynomials of Degree at Most Eight	1999	Johnny E. Brown Guangping Xiang
+ PDF	A quantitative result on polynomials with zeros in the unit disk	2010	Tomohiro Chijiwa
+ PDF	Some properties of extremal polynomials for the Ilieff conjecture	1972	Dean Phelps René Rodríguez