Sendov's conjecture
id:
sendov-s-conjecture-253-8861110
title:
Sendov's conjecture
text:
In mathematics, Sendov's conjecture, sometimes also called Ilieff's conjecture, concerns the relationship between the locations of roots and critical points of a polynomial function of a complex variable. It is named after Blagovest Sendov. The conjecture states that for a polynomial with all roots r1, ..., rn inside the closed unit disk |z| ≤ 1, each of the n roots is at a distance no more than 1 from at least one critical point. The Gauss–Lucas theorem says that all of the critical points lie
brand slug:
wiki
category slug:
encyclopedia
description:
Conjecture about the roots of polynomials
original url:
https://en.wikipedia.org/wiki/Sendov%27s_conjecture
date created:
date modified:
2022-05-02T00:24:15Z
main entity:
{"identifier":"Q17037028","url":"https://www.wikidata.org/entity/Q17037028"}
image:
fields total:
13
integrity:
14