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New Proofs of the Basel Problem using Stochastic Processes
Uwe Hassler, Mehdi Hosseinkouchack · 2021-03-24 · via math.ST updates on arXiv.org

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

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