AN APPLICATION OF NESTERENKO'S DIMENSION ESTIMATE TO p-ADIC q-SERIES

DOI10.1142/S1793042111004071zbMath1242.11048OpenAlexW2005930910MaRDI QIDQ5392207

Peter Bundschuh, Keijo Väänänen

Publication date: 8 April 2011

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

Full work available at URL: https://doi.org/10.1142/s1793042111004071

zbMATH Keywords

linear independenceIrrationality\(p\)-adic functional equationNesterenko's \(p\)-adic dimension estimate

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)

Related Items (1)

On a criterion of linear independence of \(p\)-adic numbers

Cites Work

• ARITHMETICAL RESULTS ON CERTAIN q-SERIES, II
• ARITHMETICAL RESULTS ON CERTAIN q-SERIES, I
• Transcendental Numbers in the P-Adic Domain

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