Arithmetic properties of solutions of certain Poincaré-type functional equations

DOI10.5802/jtnb.180zbMath0870.11046OpenAlexW2318862143MaRDI QIDQ679107

Daniel Duverney

Publication date: 28 May 1997

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1996__8_2_443_0

zbMATH Keywords

Padé approximationirrationalityPoincaré type functional equations

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Irrationality; linear independence over a field (11J72)

Related Items (2)

Linear independence of the values of \(q\)-hypergeometric series and related functions ⋮ Arithmetic properties of solutions of certain functional equations in several variables

Cites Work

• Padé approximants for the q-elementary functions
• Les nombres transcendants
• Irrationality results for theta functions by Gel'fond-Schneider's method
• Transcendence of the values of functions satisfying generalized Mahler type functional equations.
• Über die arithmetische Natur der Werte der Lösungen einer Funktionalgleichung von H. Poincaré
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