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Where could I find a proof of the identity

$$ \operatorname{Li}_{3}\left(\frac{1}{2} \right) = \sum_{n=1}^{\infty}\frac{1}{2^n n^3}= \frac{1}{24} \left( 21\zeta(3)+4\ln^3 (2)-2\pi^2 \ln2\right)$$


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Maybe here? books.google.fr/… –  1015 Feb 3 '13 at 16:44

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