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Similarities in Irrationality Proofs for π, ln2, ζ(2), and ζ(3)

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Publication:2730821
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DOI10.2307/2695383zbMath0986.11045OpenAlexW4233354247MaRDI QIDQ2730821

Dirk Huylebrouck

Publication date: 29 October 2001

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

Full work available at URL: https://doi.org/10.2307/2695383


zbMATH Keywords

irrationality


Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)


Related Items (6)

On the irrationality of \(\pi^{4}\) and \(\pi^{6}\) ⋮ A simple proof that \(\zeta (2) = \frac {\pi^{2}}{6}\) ⋮ The Euler and Springer numbers as moment sequences ⋮ An elementary proof of the irrationality of Tschakaloff series ⋮ How Close to 10 Is π2  ? ⋮ A simple elementary proof for the inequality \(d_n< 3^n\)







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