I found the following identity in a paper:(adsbygoogle = window.adsbygoogle || []).push({});

##

\sum_{l=1}^{\infty}exp(-\pi\alpha l^2)=(\frac{1}{2\sqrt{\alpha}}-\frac{1}{2})+\frac{1}{\sqrt{\alpha}}\sum_{l=1}^{\infty}exp(\frac{-\pi l^2}{\alpha}) ##

Someone please let me give some hints on how to prove this.

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# Summation of exponential terms

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