Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Ilieff's_conjecture
|
| gptkbp:appliesTo |
complex polynomials
|
| gptkbp:countryOfOrigin |
gptkb:Bulgaria
|
| gptkbp:degreeRestriction |
n ≥ 2
|
| gptkbp:field |
complex analysis
polynomial theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Sendov's conjecture
|
| gptkbp:proposedBy |
gptkb:Blagovest_Sendov
|
| gptkbp:relatedTo |
gptkb:Gauss–Lucas_theorem
critical points of polynomials |
| gptkbp:sentence |
If all zeros of a complex polynomial of degree n ≥ 2 lie in the closed unit disk, then for each zero there is a critical point within distance 1.
|
| gptkbp:solvedBy |
n ≤ 8
|
| gptkbp:status |
open (as of 2024)
|
| gptkbp:yearProposed |
1958
|
| gptkbp:bfsParent |
gptkb:Blagovest_Sendov
|
| gptkbp:bfsLayer |
7
|