Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Hurwitz_zeta_function
|
| gptkbp:analyticContinuation |
entire complex s except s=1
|
| gptkbp:appearsIn |
gptkb:quantum_field_theory
modular forms spectral theory |
| gptkbp:definedIn |
complex variable s
real parameter q |
| gptkbp:defines |
ζ(s, q) = Σ_{n=0}^∞ 1/(n+q)^s
|
| gptkbp:domain |
Re(s) > 1, q > 0
|
| gptkbp:firstDescribed |
1882
|
| gptkbp:generalizes |
gptkb:Riemann_zeta_function
|
| gptkbp:hasEquation |
yes
|
| gptkbp:hasSeriesExpansion |
Laurent series at s=1
|
| gptkbp:hasSpecialCase |
ζ(s, 1) = Riemann zeta function
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hurwitzsche Zeta-Funktion
|
| gptkbp:namedAfter |
gptkb:Adolf_Hurwitz
|
| gptkbp:relatedTo |
gptkb:Dirichlet_L-functions
gptkb:Bernoulli_polynomials |
| gptkbp:usedIn |
mathematical physics
analytic number theory |
| gptkbp:bfsParent |
gptkb:Riemannsche_Zeta-Funktion
|
| gptkbp:bfsLayer |
7
|