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Another Proof of <tex-math> ${\zeta(2)=\frac{\pi^2}{6}}$ </tex-math> Using Double Integrals

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Publication:2856463
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DOI10.4169/amer.math.monthly.120.07.642zbMath1284.40003DBLPjournals/tamm/Ritelli13arXiv1208.5981OpenAlexW2397540263WikidataQ58887687 ScholiaQ58887687MaRDI QIDQ2856463

Daniele Ritelli

Publication date: 29 October 2013

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5981


zbMATH Keywords

Riemann zeta functionseriesdouble integralsgeometrical series


Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Approximation to limiting values (summation of series, etc.) (40A25)


Related Items (2)

A Wilf–Zeilberger–Based Solution to the Basel Problem With Applications ⋮ Evaluation of harmonic sums with integrals






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