Prime Number Theorem for arithmetic progressions
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
PNT for APs
|
| 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 density of primes in arithmetic progressions
|
| gptkbp:provenBy |
gptkb:Hadamard
gptkb:de_la_Vallée-Poussin gptkb:Landau Wiener |
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:relatedTo |
gptkb:Dirichlet's_theorem_on_arithmetic_progressions
gptkb:Generalized_Riemann_Hypothesis |
| gptkbp:requires |
gptkb:Dirichlet's_theorem_on_arithmetic_progressions
|
| gptkbp:state |
primes are evenly distributed among reduced residue classes modulo q
|
| gptkbp:uses |
gptkb:Dirichlet_L-functions
|
| gptkbp:yearProved |
1896
|
| gptkbp:bfsParent |
gptkb:Primzahlsatz
|
| gptkbp:bfsLayer |
7
|