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 May18 awarded Notable Question Oct28 accepted How do I compute $\int_{-\infty}^\infty e^{-\frac{x^2}{2t}} e^{-ikx} \, \mathrm dx$ for $t \in \mathbb{R}_{>0}$ and $k \in \mathbb{R}$? Oct27 comment How do I compute $\int_{-\infty}^\infty e^{-\frac{x^2}{2t}} e^{-ikx} \, \mathrm dx$ for $t \in \mathbb{R}_{>0}$ and $k \in \mathbb{R}$? So I found this, thanks for your help I guess... Oct27 comment How do I compute $\int_{-\infty}^\infty e^{-\frac{x^2}{2t}} e^{-ikx} \, \mathrm dx$ for $t \in \mathbb{R}_{>0}$ and $k \in \mathbb{R}$? Could I argue that the integral along this contour vanishes and as the paths left and right (in vertical direction) cancel each other, the integral along the complex path must equal the integral along the real axis and therefore for $T \to \infty$ the integral from $-\infty$ to $\infty$ equals the integral from $-i \infty$ to $i \infty$? Oct27 comment How do I compute $\int_{-\infty}^\infty e^{-\frac{x^2}{2t}} e^{-ikx} \, \mathrm dx$ for $t \in \mathbb{R}_{>0}$ and $k \in \mathbb{R}$? I don't quite understand. Could you maybe tell me what in my case would be $c$? What do I have to use as $f$ in Cauchy's formula? Oct27 asked How do I compute $\int_{-\infty}^\infty e^{-\frac{x^2}{2t}} e^{-ikx} \, \mathrm dx$ for $t \in \mathbb{R}_{>0}$ and $k \in \mathbb{R}$? Oct23 awarded Popular Question Oct15 awarded Nice Question Oct14 accepted “A proof that algebraic topology can never have a non self-contradictory set of abelian groups” - Dr. Sheldon Cooper Oct12 asked “A proof that algebraic topology can never have a non self-contradictory set of abelian groups” - Dr. Sheldon Cooper Oct12 awarded Scholar Oct12 accepted Find all homomorphisms $\varphi: C_4 \to V$ or $\psi: V \to C_4$ where $C_4$ is the cyclic group and $V$ the Kleinian group Oct11 awarded Student Oct11 asked Find all homomorphisms $\varphi: C_4 \to V$ or $\psi: V \to C_4$ where $C_4$ is the cyclic group and $V$ the Kleinian group