Source: wikibot/hilbert-s-irreducibility-theorem
= Hilbert's irreducibility theorem
{wiki=Hilbert's_irreducibility_theorem}
Hilbert's irreducibility theorem is a result in algebraic number theory, specifically related to the behavior of certain types of polynomial equations. Formulated by David Hilbert in the early 20th century, the theorem provides a significant insight into the irreducibility of polynomials over number fields.