Prime number theorem for arithmetic progressions
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
distribution of prime numbers
|
| gptkbp:field |
number theory
|
| gptkbp:generalizes |
gptkb:prime_number_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Prime number theorem for arithmetic progressions
|
| gptkbp:implies |
asymptotic distribution of primes in arithmetic progressions
|
| gptkbp:involves |
gptkb:Dirichlet's_theorem_on_arithmetic_progressions
gptkb:Dirichlet_L-functions |
| gptkbp:provenBy |
gptkb:Ernst_Eduard_Kummer
gptkb:Hadamard gptkb:de_la_Vallée-Poussin |
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:relatedTo |
gptkb:Chebotarev_density_theorem
gptkb:Dirichlet's_theorem |
| gptkbp:state |
primes are evenly distributed among coprime residue classes
|
| gptkbp:uses |
complex analysis
analytic number theory properties of L-functions |
| gptkbp:yearProved |
1896
|
| gptkbp:bfsParent |
gptkb:Dirichlet_L-functions
|
| gptkbp:bfsLayer |
6
|