Source: wikibot/sendov-s-conjecture
= Sendov's conjecture
{wiki=Sendov's_conjecture}
Sendov's conjecture is a hypothesis in the field of complex analysis and polynomial theory, proposed by the Bulgarian mathematician Petar Sendov in the 1970s. The conjecture addresses the relationship between the roots of a polynomial and the locations of its critical points. Specifically, Sendov's conjecture states that if a polynomial \\( P(z) \\) of degree \\( n \\) has all its roots in the closed unit disk (i.e.