On a solution to the Basel problem based on the fundamental theorem of calculus

2021/04/04 by Alessio Del Vigna, Del Vigna, Alessio
Economics, Econometrics and Finance · #FOS: Mathematics #History and Overview (math.HO) #Insurance and Financial Risk Management

paper · pdf · doi:10.48550/arxiv.2104.01710

openalex publication_date 2021/04/04 · openalex created_date 2021/04/13 · openalex updated_date 2026/07/28

Abstract

We give a proof of the identity ζ(2)=∑_n=1^∞ (1)/(n²)=\fracπ²6 using the fundamental theorem of calculus and differentiation under the integral sign.

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