Infinite sum reciprocal of cosh(n \pi)

In today´s blog entry we will prove the following infinte sum


\begin{align*} \sum_{n=-\infty}^\infty \frac{1}{\cosh(n \pi )} &=\frac{\sqrt{\pi}}{\Gamma^2\left(\frac{3}{4}\right)} \end{align*}



Click here to see the proof.

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