Hilbert's problems

GPTKB entity
AI-created image of Hilbert's problems
AI-created image

Statements (52)
Predicate Object
gptkbp:instanceOf list of mathematical problems
gptkbp:addressedTo many mathematicians
gptkbp:field gptkb:mathematics
https://www.w3.org/2000/01/rdf-schema#label Hilbert's problems
gptkbp:includes gptkb:Continuum_hypothesis
gptkb:Goldbach_conjecture
gptkb:Kronecker's_Jugendtraum
gptkb:Riemann_hypothesis
Axiomatization of physics
Building up of geometry from group theory
Development of the theory of abelian functions
Development of the theory of algebraic analysis
Development of the theory of algebraic curves
Development of the theory of algebraic equations
Development of the theory of algebraic extensions
Development of the theory of algebraic fields
Development of the theory of algebraic forms
Development of the theory of algebraic functions
Development of the theory of algebraic geometry
Development of the theory of algebraic groups
Development of the theory of algebraic integers
Development of the theory of algebraic invariants
Development of the theory of algebraic logic
Development of the theory of algebraic structures
Development of the theory of algebraic surfaces
Development of the theory of algebraic systems
Development of the theory of algebraic topology
Development of the theory of modular forms
Extension of Dirichlet's principle
Further development of the calculus of variations
Irreducibility of polynomials
Proof of the consistency of arithmetic
Proof of the transcendence of certain numbers
Quadratic forms with algebraic coefficients
Representation of definite forms by squares
Solvability of Diophantine equations
Solvability of the general equation of degree n
Topology of algebraic curves and surfaces
Uniformization of analytic relations
Development of the theory of algebraic number theory
Development of the theory of algebraic number fields
Development of the theory of algebraic representations
Proof of the finiteness of certain number-theoretic systems
gptkbp:influenced 20th century mathematics
gptkbp:languageOfOriginalPresentation gptkb:German
gptkbp:numberOfRooms 23
gptkbp:proposedBy gptkb:David_Hilbert
International Mathematical Olympiad
gptkbp:publishedIn gptkb:Mathematische_Probleme
gptkbp:yearProposed 1900
gptkbp:bfsParent gptkb:David_Hilbert
gptkbp:bfsLayer 3