Solution of the Basel problem in the framework of distribution theory

Autor: Aste, Andreas
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/s44007-023-00079-6
Popis: 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.
Comment: 6 pages, 1 figure. La Matematica (2023)
Databáze: arXiv