Category:Polylogarithm

This category contains results about the polylogarithm.
Definitions specific to this category can be found in Definitions/Polylogarithm.

The polylogarithm $\map {\Li_s} z$ is defined on $\set {z \in \C: 0 \le \cmod z < 1, s \in \C} \cup \set {z = 1, \map \Re s > 1}$ as the series:

$\ds \map {\Li_s} z = \sum_{n \mathop = 1}^\infty \frac {z^n} {n^s}$