On Mahler's transcendence measure for \(e\)

DOI10.1007/s00365-018-9429-3zbMath1435.11095arXiv1704.01374OpenAlexW3101929586WikidataQ130009630 ScholiaQ130009630MaRDI QIDQ1731917

Tapani Matala-aho, Anne-Maria Ernvall-Hytönen, Louna Seppälä

Publication date: 14 March 2019

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01374

zbMATH Keywords

Diophantine approximationtranscendenceHermite-Padé approximation

Mathematics Subject Classification ID

Padé approximation (41A21) Measures of irrationality and of transcendence (11J82) Irrationality; linear independence over a field (11J72)

Related Items (3)

Explicit bound for the number of primes in arithmetic progressions assuming the Generalized Riemann Hypothesis ⋮ Explicit results for Euler’s factorial series in arithmetic progressions under GRH ⋮ Euler's factorial series at algebraic integer points

Uses Software

• SageMath
• OEIS

Cites Work

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• Explicit irrationality measures for continued fractions
• Lectures on transcendental numbers. Edited and completed by B. Diviš and W. J. LeVeque
• Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz
• Remarks on Mahler's transcendence measure for \(e\)
• Rational approximations of the exponential function at rational points

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