Question

Show $$\sum_{n=1}^\infty \frac{1}{e^{\pi n^2}}=\frac{\pi^{1/4}}{2\Gamma(\frac{1}{4})}-\frac{1}{2}$$

Answer 1

http://math.stackexchange.com/questions/174877/evaluation-of-sum-x-0-infty-e-x2