Chebotarev Density Theorem

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo finite Galois extensions of number fields
gptkbp:concerns gptkb:Galois_extensions
gptkb:Frobenius_elements
prime ideals
gptkbp:field algebraic number theory
gptkbp:generalizes gptkb:Dirichlet's_theorem_on_arithmetic_progressions
https://www.w3.org/2000/01/rdf-schema#label Chebotarev Density Theorem
gptkbp:namedAfter gptkb:Nikolai_Chebotaryov
gptkbp:originalLanguage gptkb:Russian
gptkbp:publisher gptkb:Mathematische_Annalen
gptkbp:relatedTo gptkb:Artin_reciprocity_law
class field theory
distribution of prime numbers
gptkbp:state The density of primes with a given Frobenius conjugacy class equals the proportion of elements in that class in the Galois group
gptkbp:usedIn gptkb:Langlands_program
gptkb:modularity_theorem
proofs in algebraic number theory
gptkbp:yearProved 1926
gptkbp:bfsParent gptkb:Number_Theory
gptkbp:bfsLayer 7