Quantitative linear independence of an infinite product and its derivatives

DOI10.1007/s00229-009-0262-7zbMath1181.11045OpenAlexW2053937477MaRDI QIDQ833076

Peter Bundschuh, Keijo Väänänen

Publication date: 11 August 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-009-0262-7

zbMATH Keywords

Padé approximationsinfinite productmeasure of irrationalityq-seriesMeasure of linear independence

Mathematics Subject Classification ID

Padé approximation (41A21) Measures of irrationality and of transcendence (11J82) Irrationality; linear independence over a field (11J72)

Related Items (3)

Linear independence of certain sums of reciprocals of the Lucas numbers ⋮ Linear independence of \(q\)-logarithms over the Eisenstein integers ⋮ On the irrationality of generalized \(q\)-logarithm

Cites Work

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• Modular functions and transcendence questions
• Some arithmetical consequences of Jacobi's triple product identity
• ON THE SIMULTANEOUS DIOPHANTINE APPROXIMATION OF NEW PRODUCTS
• On linear independence of values of certain $ q$-series

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