Divisor function Dirichlet series
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:lion
|
| gptkbp:convergesTo |
Re(s) > 1
|
| gptkbp:equivalentTo |
\\zeta^2(s)
|
| gptkbp:hasEulerProduct |
\\prod_p (1 - p^{-s})^{-2}
|
| gptkbp:hasGeneralForm |
\\sum_{n=1}^\\infty d(n) n^{-s}
|
| https://www.w3.org/2000/01/rdf-schema#label |
Divisor function Dirichlet series
|
| gptkbp:isMultiplicative |
true
|
| gptkbp:location |
d(n) is the number of positive divisors of n
|
| gptkbp:relatedTo |
gptkb:Riemann_zeta_function
|
| gptkbp:represents |
sum of d(n) n^{-s}
|
| gptkbp:usedIn |
analytic number theory
|
| gptkbp:bfsParent |
gptkb:lion
|
| gptkbp:bfsLayer |
4
|