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Arithmetical properties of the values of functions satisfying certain functional equations of Poincaré

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Publication:2759140
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DOI10.4064/aa99-4-6zbMath0984.11037OpenAlexW2081796300MaRDI QIDQ2759140

Masaaki Amou, Keijo Väänänen, Masanori Katsurada

Publication date: 11 December 2001

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa99-4-6


zbMATH Keywords

Padé approximationirrationality measure\(q\)-hypergeometric seriesirrationality\(q\)-difference equationSiegel's lemma


Mathematics Subject Classification ID

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


Related Items (4)

Remarks on linear independence of certain \(q\)-series ⋮ Linear independence of the values of \(q\)-hypergeometric series and related functions ⋮ On the irrationality of generalized \(q\)-logarithm ⋮ Arithmetic properties of solutions of certain functional equations in several variables







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