Euler's factorial series at algebraic integer points

DOI10.1016/j.jnt.2019.06.013zbMath1437.11095arXiv1809.10997OpenAlexW2963968321WikidataQ127456162 ScholiaQ127456162MaRDI QIDQ2326483

Louna Seppälä

Publication date: 7 October 2019

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

Full work available at URL: https://arxiv.org/abs/1809.10997

zbMATH Keywords

Padé approximationDiophantine approximationdivergent seriesnumber field\(p\)-adic valuation

Mathematics Subject Classification ID

Padé approximation (41A21) Approximation in non-Archimedean valuations (11J61)

Related Items (3)

Explicit results for Euler’s factorial series in arithmetic progressions under GRH ⋮ Euler's factorial series, Hardy integral, and continued fractions ⋮ A p-adic lower bound for a linear form in logarithms

Cites Work

• Unnamed Item
• Explicit irrationality measures for continued fractions
• Type II Hermite-Padé approximations of generalized hypergeometric series
• Nontrivial global relations
• On algebraic relations in non-archimedean fields
• Euler's factorial series and global relations
• On Mahler's transcendence measure for \(e\)
• Global relations
• Effective estimates for global relations on Euler-type series
• Approximate formulas for some functions of prime numbers
• Euler's divergent series in arithmetic progressions
• Difference Equations
• A Remark on Stirling's Formula
• On Padé approximations and global relations of some Euler-type series
• Euler and his work on infinite series

This page was built for publication: Euler's factorial series at algebraic integer points