Explicit irrationality measures for continued fractions

DOI10.1016/j.jnt.2012.02.018zbMath1276.11124OpenAlexW2049103689MaRDI QIDQ423621

Marko Leinonen, Kalle Leppälä, Jaroslav Hančl, Tapani Matala-aho

Publication date: 4 June 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.02.018

zbMATH Keywords

measure of irrationalityNapier's constantnested logarithm fractionsimple continued fraction

Mathematics Subject Classification ID

Continued fractions (11A55) Measures of irrationality and of transcendence (11J82)

Related Items (8)

Rational approximations of the exponential function at rational points ⋮ On Mahler's transcendence measure for \(e\) ⋮ On a theorem of A. A. Markoff ⋮ On irrationality exponents of generalized continued fractions ⋮ An explicit Baker-type lower bound of exponential values ⋮ On Baker type lower bounds for linear forms ⋮ Euler's factorial series at algebraic integer points ⋮ Unnamed Item

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• Approximate formulas for some functions of prime numbers
• A Geometric Proof that 𝑒 Is Irrational and a New Measure of Its Irrationality
• A Short Proof of the Simple Continued Fraction Expansion of 𝑒
• Transcendental Numbers. (AM-16)
• Rational approximations to certain numbers

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