ARITHMETICAL RESULTS ON CERTAIN q-SERIES, I

DOI10.1142/S1793042108001201zbMath1187.11021OpenAlexW4237290667MaRDI QIDQ5386981

Peter Bundschuh

Publication date: 14 May 2008

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042108001201

zbMATH Keywords

hypergeometric seriesirrationalitydimension estimates

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Basic hypergeometric functions (33D99) Irrationality; linear independence over a field (11J72)

Related Items (4)

AN APPLICATION OF NESTERENKO'S DIMENSION ESTIMATE TO p-ADIC q-SERIES ⋮ Remarks on linear independence of certain \(q\)-series ⋮ ARITHMETICAL RESULTS ON CERTAIN q-SERIES, II ⋮ A NONVANISHING LEMMA FOR CERTAIN PADÉ APPROXIMATIONS OF THE SECOND KIND

Cites Work

• Linear independence of the values of transcendental solutions of certain functional equations.
• On the linear independence in algebraic number fields
• On linear independence
• On linear independence of the values of generalized Heine series
• Ein Satz über ganze Funktionen und Irrationalitätsaussagen
• Analytic Inequalities
• Unnamed Item

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