Arithmetic properties of solutions of certain functional equations in several variables

DOI10.1006/jnth.2002.2784zbMath1025.11024OpenAlexW1973505805MaRDI QIDQ1864851

Masaaki Amou, Keijo Väänänen

Publication date: 23 March 2003

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

Full work available at URL: https://doi.org/10.1006/jnth.2002.2784

zbMATH Keywords

irrationality measurelinear independencePoincaré functional equation

Mathematics Subject Classification ID

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

Related Items (1)

Linear independence of the values of \(q\)-hypergeometric series and related functions

Cites Work

• Arithmetic properties of solutions of certain Poincaré-type functional equations
• Linear independence of the values of transcendental solutions of certain functional equations.
• Gevrey series of arithmetic type. II: Transcendence without transcendence
• Measures of linear independence of values of entire transcendental solutions of certain functional equations
• Arithmetical properties of the values of functions satisfying certain functional equations of Poincaré
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