A One-Sentence and Truly Elementary Proof of the Basel Problem
History and Overview
2015-02-27 v1
Abstract
By doing a slight change to a beautiful and widely unknown argument by E. L. Stark [E. L. Stark, Application of a Mean Value Theorem for Integrals to Series Summation, Amer. Math. Monthly 85 (1978) 481--483.] we get a candidate to be considered as one of the shortest and most elementary proofs of the celebrated Basel Problem. Furthermore, we give a comprehensive list of references on this topic, displayed in chronological order from Euler to present.
Keywords
Cite
@article{arxiv.1502.07667,
title = {A One-Sentence and Truly Elementary Proof of the Basel Problem},
author = {Samuel G. Moreno},
journal= {arXiv preprint arXiv:1502.07667},
year = {2015}
}
Comments
7 pages, 85 references