Euler's factorial series, Hardy integral, and continued fractions

DOI10.1016/j.jnt.2022.09.007OpenAlexW3215072014MaRDI QIDQ2112782

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

Publication date: 12 January 2023

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

Full work available at URL: https://arxiv.org/abs/2111.13649

zbMATH Keywords

Padé approximationDiophantine approximationcontinued fractions\(p\)-adic

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Continued fractions and generalizations (11J70) Approximation in non-Archimedean valuations (11J61)

Related Items (1)

Explicit results for Euler’s factorial series in arithmetic progressions under GRH

Cites Work

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• Effective estimates for global relations on Euler-type series
• Euler’s constant: Euler’s work and modern developments
• Euler's divergent series in arithmetic progressions
• Neverending Fractions
• Applications of a theorem by A. B. Shidlovski

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