Meanings
- mathematicsA conjecture concerning the relationship between the locations of roots and critical points of a polynomial function of a complex variable. It states that for a polynomial f(z)=(z-r_1)⋯(z-r_n), qquad (n>2) 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.
Synonyms: Ilieff's conjecture
Synonyms & antonyms
proper nounA conjecture concerning the relationship between the locations of roots and critical points of a polynomial function of a complex variable. It states that for a polynomial f(z)=(z-r_1)⋯(z-r_n), qquad (n>2) 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.
Origin
Named after Bulgarian mathematician Blagovest Sendov.
Full word history & related roots →Cite this entry
Sendov's conjecture. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Sendov's%20conjecture
“Sendov's conjecture.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Sendov's%20conjecture. Accessed November 4, 2026.
WatkinsX Dictionary, s.v. “Sendov's conjecture,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Sendov's%20conjecture.
Source: Sendov's conjecture on Wiktionary, CC BY-SA 4.0.