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arXiv · 2102.10542

Solution of the Basel problem in the framework of distribution theory

Andreas Aste
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Abstract

A simple proof of Euler's formula which states that the sum of the reciprocals of all natural numbers squared equals $\pi^2/6$ is presented based on the distribution theory introduced by Laurent Schwartz. Additional identities are obtained as a byproduct of the derivation.

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Andreas Aste. 2021-02-21. Solution of the Basel problem in the framework of distribution theory. https://doi.org/10.1007/s44007-023-00079-6

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