On linear independence of the values of generalized Heine series

DOI10.1007/s00208-002-0372-yzbMath1025.11023OpenAlexW365669503MaRDI QIDQ1865697

Keijo Väänänen

Publication date: 27 March 2003

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-002-0372-y

zbMATH Keywords

irrationality measurelinear formsBessel functionslinear independence\(q\)-analogues of Lindemann-Weierstraß theorem

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Measures of irrationality and of transcendence (11J82) Irrationality; linear independence over a field (11J72)

Related Items (6)

ARITHMETICAL RESULTS ON CERTAIN q-SERIES, I ⋮ Linear independence of values of Tschakaloff functions with different parameters ⋮ Remarks on linear independence of certain \(q\)-series ⋮ Linear independence of the values of \(q\)-hypergeometric series and related functions ⋮ On \(q\)-analogues of divergent and exponential series ⋮ A NONVANISHING LEMMA FOR CERTAIN PADÉ APPROXIMATIONS OF THE SECOND KIND

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