Dedekindsche Zeta-Funktion

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Dedekind_zeta_function
gptkbp:definedIn Algebraic number field K
gptkbp:describes Algebraic number field
gptkbp:field gptkb:Number_theory
gptkbp:generalizes gptkb:Riemann_zeta_function
gptkbp:hasApplication Class number formula
Distribution of prime ideals
gptkbp:hasPoleAt s=1
gptkbp:hasProperty Functional equation
Analytic continuation
gptkbp:hasSpecialCase gptkb:lion
https://www.w3.org/2000/01/rdf-schema#label Dedekindsche Zeta-Funktion
gptkbp:introducedIn 19th century
gptkbp:namedAfter gptkb:Richard_Dedekind
gptkbp:notation ζ_K(s)
gptkbp:relatedTo Class number
Discriminant of a number field
Prime ideal theorem
Regulator of a number field
gptkbp:variant complex variable s
gptkbp:bfsParent gptkb:Algebraische_Zahlentheorie
gptkbp:bfsLayer 6