On Padé approximations and global relations of some Euler-type series

DOI10.1142/S1793042118501403zbMath1422.11150arXiv1705.04183OpenAlexW2963545949MaRDI QIDQ4582749

Keijo Väänänen

Publication date: 24 August 2018

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

Full work available at URL: https://arxiv.org/abs/1705.04183

zbMATH Keywords

Padé approximationglobal relationEuler-type function\(p\)-adic linear form

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Irrationality; linear independence over a field (11J72) Approximation in non-Archimedean valuations (11J61)

Related Items (1)

Euler's factorial series at algebraic integer points

Cites Work

• Arithmetic properties of Euler series
• Euler's factorial series and global relations
• On a result of Fel'dman on linear forms in the values of some \(E\)-functions
• Effective estimates for global relations on Euler-type series
• On the arithmetic properties of generalized hypergeometric series with irrational parameters
• Introduction to number theory
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