Über die Gleichung neunten Grades

  title={{\"U}ber die Gleichung neunten Grades},
  author={D. Hilbert},
  journal={Mathematische Annalen},
The representability hierarchy and Hilbert ’ s 13 th problem
We propose the representability hierarchy of algebraic functions over C, which relates classic questions like the unsolvability of the quintic by radicals to unresolved questions like Hilbert’s 13thExpand
Advancement to Candidacy Topic Proposal Solving Polynomials After Klein : The Theory of Resolvent Degree
Solving polynomials is a classical problem. Here, we take a geometric/topological approach that combines the classical viewpoints pioneered by Klein and Hilbert (among others) and the modernExpand
On the essential dimension of a finite group
Let f(x) = Σaixi be a monic polynomial of degree n whosecoefficients are algebraically independent variables over a base field k of characteristic 0. We say that a polynomial g(x) isgenerating (forExpand
Resolvent degree, Hilbert's 13th Problem and geometry
We develop the theory of resolvent degree, introduced by Brauer \cite{Br} in order to study the complexity of formulas for roots of polynomials and to give a precise formulation of Hilbert's 13thExpand
Histoire du 13e problème de Hilbert
© Cahiers du séminaire d’histoire des mathématiques, 1993, tous droits réservés. L’accès aux archives de la revue « Cahiers du séminaire d’histoire des mathématiques » implique l’accord avec lesExpand