A Geometric Proof that 𝑒 Is Irrational and a New Measure of Its Irrationality

DOI10.2307/27642006zbMath1149.11035arXiv0704.1282OpenAlexW2952243148MaRDI QIDQ3512111

Jonathan Sondow

Publication date: 11 July 2008

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

Full work available at URL: https://arxiv.org/abs/0704.1282

zbMATH Keywords

arithmetic functionsirrationality measures

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Irrationality; linear independence over a field (11J72)

Related Items (7)

Sondow's conjecture, convergents to \(e\), and \(p\)-adic analytic functions ⋮ Polynomial analogue of the Smarandache function ⋮ Explicit irrationality measures for continued fractions ⋮ Diophantine approximation of the exponential function and Sondow's conjecture ⋮ A Proof of Sondow’s Conjecture on the Smarandache Function ⋮ On the composition of a certain arithmetic function ⋮ Irrationality and transcendence of alternating series via continued fractions

This page was built for publication: A Geometric Proof that 𝑒 Is Irrational and a New Measure of Its Irrationality