On the mean value of the measure of irrationality of real numbers

DOI10.1134/S0001434615070329zbMath1344.11052OpenAlexW2300877616MaRDI QIDQ887505

Denis O. Shatskov

Publication date: 26 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615070329

zbMATH Keywords

continued fractionLebesgue measureergodic transformationmeasure of irrationalityconvergentGauss transformationreal number

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Metric theory (11J83) Metric theory of continued fractions (11K50)

Related Items (1)

On irrationality measure functions for two irrational numbers

Cites Work

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• Metrical theory for a class of continued fraction transformations and their natural extensions
• Rational approximations of real numbers
• A note on the approximation by continued fractions under an extra condition
• Approximations to two real numbers
• Remarks on the remainder in Birkhoff's ergodic theorem

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