English

Just another solution to the Basel Problem

General Mathematics 2025-03-14 v1

Abstract

The Basel problem consists in finding the sum of the reciprocals of the squares of the positive integers. It was finally solved in 1735 by Leonhard Euler. In this paper, we propose a simple proof based on the Weierstrass Sine product formula and L'H\^opital's rule.

Cite

@article{arxiv.2303.07526,
  title  = {Just another solution to the Basel Problem},
  author = {Alois Schiessl},
  journal= {arXiv preprint arXiv:2303.07526},
  year   = {2025}
}

Comments

3 pages

R2 v1 2026-06-28T09:15:17.511Z