A Proof of the Continued Fraction Expansion of 𝑒1/M

DOI10.2307/27641838zbMath1141.11007OpenAlexW4249472606MaRDI QIDQ5440758

Thomas J. Osler

Publication date: 5 February 2008

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

Full work available at URL: https://doi.org/10.2307/27641838

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Metric theory of continued fractions (11K50) Diophantine approximation in probabilistic number theory (11K60)

Related Items (5)

Linearly periodic continued fractions ⋮ A diophantine approximation of \(e^{1/s}\) in terms of integrals ⋮ A simple proof of Euler's continued fraction of e^1/M ⋮ SOME EXACT ALGEBRAIC EXPRESSIONS FOR THE TAILS OF TASOEV CONTINUED FRACTIONS ⋮ On the Padé table for \(e^{x}\) and the simple continued fractions for \(e\) and \(e^{L/M}\)

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