A simple proof that 𝜋 is irrational

DOI10.1090/S0002-9904-1947-08821-2zbMath0037.31404WikidataQ30052729 ScholiaQ30052729MaRDI QIDQ5796103

I. Niven

Publication date: 1947

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

proof of irrationality of \(\pi\)

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)

Related Items (9)

Irrationality proofs à la Hermite ⋮ On the irrationality of \(\pi^{4}\) and \(\pi^{6}\) ⋮ Birth, growth and computation of pi to ten trillion digits ⋮ Elementary analytic functions in \(\mathsf{VT}\mathsf{C}^0\) ⋮ 3 in 1: a simple way to prove that \(e^r\), \(\mathrm{ln}(r)\) and \(\pi^2\) are irrational ⋮ Ein \(p\)-adischer Beweis für die Irrationalität der Nullstellen von Besselfunktionen ⋮ A new elementary proof for the irrationality of \(\pi\) ⋮ Legendre polynomials in irrationality proofs ⋮ Calculus Gems

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