Formula:DLMF:25.12:E7

${\displaystyle{\displaystyle{\displaystyle\Dilogarithm@{{\mathrm{e}^{\mathrm{i% }\theta}}}=\sum_{n=1}^{\infty}\frac{\cos\left(n\theta\right)}{n^{2}}+\mathrm{i% }\sum_{n=1}^{\infty}\frac{\sin\left(n\theta\right)}{n^{2}}}}}$

Constraint(s)

${\displaystyle{\displaystyle{\displaystyle 0\leq\theta\leq 2\pi}}}$

Proof

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