Many proofs that $\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}$ can be found in the conformal invariance of planar Brownian motion

Greg Markowsky

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arXiv · 1812.06643

Many proofs that $\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}$ can be found in the conformal invariance of planar Brownian motion

Greg Markowsky

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Abstract

A number of recent new proofs of Euler's celebrated identity are presented, all of which are probabilistic in nature and depend on the conformal invariance of planar Brownian motion.

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Greg Markowsky. 2018-12-17. Many proofs that $\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}$ can be found in the conformal invariance of planar Brownian motion. https://arxiv.org/abs/1812.06643

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