A NONVANISHING LEMMA FOR CERTAIN PADÉ APPROXIMATIONS OF THE SECOND KIND

DOI10.1142/S1793042111004964zbMath1262.11075WikidataQ124984963 ScholiaQ124984963MaRDI QIDQ3115731

Ville Merilä

Publication date: 10 February 2012

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

zbMATH Keywords

valuationgeneralized Vandermonde determinantalgebraic number fieldlinear independence measuregeneralized hypergeometric and \(q\)-hypergeometric functionsexplicit Padé approximations of the second kindnonvanishing lemma

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72) Approximation in non-Archimedean valuations (11J61) Matrices, determinants in number theory (11C20)

Related Items (1)

Blossoming and Hermite-Padé approximation for hypergeometric series

Cites Work

• Type II Hermite-Padé approximations of generalized hypergeometric series
• On arithmetical properties of certain \(q\)-series
• Arithmetic properties of special Heine series
• Linear independence measures for values of Heine series
• Arithmetic properties of the Markov function for the Jacobi weight
• On linear independence of the values of generalized Heine series
• On the linear independence of the values of Gauss hypergeometric function
• On Siegel–Shidlovskii's theory for q-difference equations
• ON LINEAR INDEPENDENCE MEASURES OF SOME ABELIAN INTEGRALS
• Heine's basic transform and a permutation group for q-harmonic series
• ARITHMETICAL RESULTS ON CERTAIN q-SERIES, I

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