Irrationality of certain sums of series.

DOI10.1007/S00229-007-0159-2zbMath1202.11039OpenAlexW2024970191MaRDI QIDQ926273

Jean-Paul Bézivin

Publication date: 27 May 2008

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

Full work available at URL: https://doi.org/10.1007/s00229-007-0159-2

zbMATH Keywords

irrationalitylinear independenceq-exponential functionChakalov functionsTschakaloff functions

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)

Related Items (2)

Quantitative linear independence of an infinite product and its derivatives ⋮ Linear independence of certain sums of reciprocals of the Lucas numbers

Cites Work

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• Linear independence of the values of transcendental solutions of certain functional equations.
• On the irrationality of \(\sum (1/(q^ n+r))\)
• Irrationality measures for certain $q$-mathematical constants
• On the irrationality of a certain 𝑞 series
• On the irrationality of the infinite product ∞Π j=0 (1+q −j r+q −2j s)
• AGAIN ON THE IRRATIONALITY OF A CERTAIN INFINITE PRODUCT
• Modular functions and transcendence questions
• Some arithmetical consequences of Jacobi's triple product identity

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