New Proofs of the Basel Problem using Stochastic Processes

03/24/2021

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by   Uwe Hassler, et al.

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The number π ^2/6 is involved in the variance of several distributions in statistics. At the same time it holds ∑_k=1^∞k^-2= 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.