Remarks on linear independence of certain \(q\)-series

DOI10.1007/s10958-012-0654-1zbMath1345.11051OpenAlexW2082088286MaRDI QIDQ2256730

Keijo Väänänen

Publication date: 20 February 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0654-1

zbMATH Keywords

\(q\)-serieslinear independenceSiegel-Shidlovskii theory

Mathematics Subject Classification ID

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

Cites Work

• On \(q\)-analogues of divergent and exponential series
• On the linear independence of numbers
• On linear independence of the values of generalized Heine series
• Ein Satz über ganze Funktionen und Irrationalitätsaussagen
• Functions which take on integral values
• Arithmetical properties of the values of functions satisfying certain functional equations of Poincaré
• On Siegel–Shidlovskii's theory for q-difference equations
• ARITHMETICAL RESULTS ON CERTAIN q-SERIES, I

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