New Proofs of the Basel Problem using Stochastic Processes

Uwe Hassler, Mehdi Hosseinkouchack

The number $\frac{{\pi }^2}{6}$ is involved in the variance of several distributions in statistics. At the same time it holds ${\sum }_{k=1}^{\infty }{k}^{-2}=\frac{{\pi }^2}{6}$, w…