Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Special function
|
| gptkbp:defines |
Li_s(z) = sum_{k=1}^∞ z^k / k^s
|
| gptkbp:domain |
gptkb:Complex_numbers
|
| gptkbp:field |
gptkb:Mathematics
gptkb:Number_theory Complex analysis |
| gptkbp:generalizes |
gptkb:Dilogarithm
gptkb:Trilogarithm Logarithm |
| gptkbp:hasArgument |
z
|
| gptkbp:hasSpecialCase |
gptkb:Riemann_zeta_function
gptkb:Clausen_function |
| https://www.w3.org/2000/01/rdf-schema#label |
Polylogarithm
|
| gptkbp:introduced |
gptkb:Leonhard_Euler
|
| gptkbp:notation |
Li_s(z)
|
| gptkbp:order |
s
|
| gptkbp:property |
Analytic continuation
Branch cuts Functional equations |
| gptkbp:relatedTo |
gptkb:Hurwitz_zeta_function
gptkb:Multiple_zeta_values |
| gptkbp:usedIn |
gptkb:Bose-Einstein_statistics
gptkb:Fermi-Dirac_statistics Quantum statistics Mathematical physics |
| gptkbp:variant |
z
s |
| gptkbp:bfsParent |
gptkb:lion
|
| gptkbp:bfsLayer |
4
|