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
|
https://www.w3.org/2000/01/rdf-schema#label |
Hurwitz 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:lion
|
gptkbp:bfsLayer |
4
|