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Just another solution to the Basel Problem

Alois Schiessl

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'Hôpital's rule.

Just another solution to the Basel Problem

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'Hôpital's rule.
Paper Structure (11 equations)

This paper contains 11 equations.