3 in 1: a simple way to prove that \(e^r\), \(\mathrm{ln}(r)\) and \(\pi^2\) are irrational

DOI10.4171/EM/363zbMath1440.11131MaRDI QIDQ670728

Juan-Miguel Gracia

Publication date: 20 March 2019

Published in: Elemente der Mathematik (Search for Journal in Brave)

zbMATH Keywords

irrationalitynumber ePade's approximation

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)

Cites Work

• A simple proof of the irrationality of \(\pi\)
• Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz
• A simple proof that 𝜋 is irrational
• A proof that $e^m$ is irrational
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