Pith. sign in

REVIEW 1 cited by

A One-Sentence and Truly Elementary Proof of the Basel Problem

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1502.07667 v1 pith:4EEWK5UX submitted 2015-02-06 math.HO

Samuel G. Moreno This is my paper · ORCID
classification math.HO
keywords baselelementaryproblemstarkamerapplicationargumentbeautiful
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Basel problem: a physicist's solution

    math.HO 2019-08 accept novelty 5.0 of 10

    A physicist-style proof using Coulomb forces and the digamma function derives zeta(2) equals pi squared over 6, and by extension all even zeta values.

Pith tools