Two remarkable sums due to Ramanujan-Part II

In this entry we present a second proof via contour integration for the series (proved previously here)


\begin{align*}
    \sum_{n=1}^\infty \frac{1}{\sinh^2(n \pi)}=\frac16-\frac{1}{2 \pi}
\end{align*}


Click here for the proof.

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