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The number $\frac{\pi ^{2}}{6}$ is involved in the variance of severaldistributions in statistics. At the same time it holds$\sum\nolimits_{k=1}^{\infty }k^{-2}= \frac{\pi ^{2}}{6}$, which solves thefamous Basel problem. We first provide a historical perspective on the Baselproblem, and second show how to generate further proofs building on stochasticprocesses.

New Proofs of the Basel Problem using Stochastic Processes