Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:analyticContinuation |
entire complex plane except s=1
|
| gptkbp:application |
mathematical physics
number theory quantum mechanics spectral theory |
| gptkbp:convergesTo |
Re(s) > 1
|
| gptkbp:defines |
ζ(s, q) = Σ_{n=0}^∞ 1/(n+q)^s
|
| gptkbp:domain |
complex analysis
|
| gptkbp:generalizes |
gptkb:Riemann_zeta_function
|
| gptkbp:hasEquation |
yes
|
| gptkbp:hasSpecialCase |
ζ(s, 1) = Riemann zeta function
|
| gptkbp:namedAfter |
gptkb:Adolf_Hurwitz
|
| gptkbp:notation |
ζ(s, q)
|
| gptkbp:relatedTo |
gptkb:lion
gptkb:Bernoulli_polynomials gptkb:polylogarithm |
| gptkbp:studiedBy |
1882
|
| gptkbp:variant |
q
s |
| gptkbp:bfsParent |
gptkb:Adolf_Hurwitz
|
| gptkbp:bfsLayer |
5
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hurwitz zeta function
|