Zeta function of a number field
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Dedekind_zeta_function
|
| gptkbp:appearsIn |
gptkb:Langlands_program
|
| gptkbp:domain |
gptkb:Complex_numbers
|
| gptkbp:encodes |
Arithmetic information of number fields
|
| gptkbp:field |
gptkb:Number_theory
|
| gptkbp:generalizes |
gptkb:Riemann_zeta_function
|
| gptkbp:hasAnalyticContinuation |
Yes
|
| gptkbp:hasEquation |
Yes
|
| gptkbp:hasEulerProduct |
Yes
|
| gptkbp:hasPoleAt |
s = 1
|
| gptkbp:hasSpecialCase |
Riemann zeta function (for rational numbers)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Zeta function of a number field
|
| gptkbp:introduced |
gptkb:Richard_Dedekind
|
| gptkbp:meromorphicOn |
gptkb:Complex_plane
|
| gptkbp:relatedTo |
L-functions
Prime ideals Class number formula |
| gptkbp:studiedIn |
gptkb:Algebraic_geometry
Arithmetic geometry |
| gptkbp:usedIn |
gptkb:Algebraic_number_theory
|
| gptkbp:bfsParent |
gptkb:Algebraic_Number_Fields
|
| gptkbp:bfsLayer |
7
|