English

Solution of the Basel problem in the framework of distribution theory

General Mathematics 2023-11-21 v1

Abstract

A simple proof of Euler's formula which states that the sum of the reciprocals of all natural numbers squared equals π2/6\pi^2/6 is presented based on the distribution theory introduced by Laurent Schwartz. Additional identities are obtained as a byproduct of the derivation.

Keywords

Cite

@article{arxiv.2102.10542,
  title  = {Solution of the Basel problem in the framework of distribution theory},
  author = {Andreas Aste},
  journal= {arXiv preprint arXiv:2102.10542},
  year   = {2023}
}

Comments

6 pages, 1 figure. La Matematica (2023)