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arXiv · 2103.13249

New Proofs of the Basel Problem using Stochastic Processes

Uwe Hassler·Mehdi Hosseinkouchack
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Abstract

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

Uwe Hassler, Mehdi Hosseinkouchack. 2021-03-24. New Proofs of the Basel Problem using Stochastic Processes. https://arxiv.org/abs/2103.13249

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