A linear independence measure for certain \(p\)-adic numbers

DOI10.1016/0022-314X(91)90045-DzbMath0747.11030MaRDI QIDQ1179506

Keijo Väänänen, Rolf Wallisser

Publication date: 26 June 1992

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

zbMATH Keywords

Padé approximantlinear independence measure\(p\)-adic approximationvalues of \(p\)-adic function

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Padé approximation (41A21) Irrationality; linear independence over a field (11J72) Approximation in non-Archimedean valuations (11J61)

Related Items (3)

Irrationality results for values of generalized Tschakaloff series. II. ⋮ Zu einem Satz von Skolem über lineare Unabhängigkeiten von Werten gewisser Thetareihen. (On a theorem of Skolem on linear independence of values of certain theta series) ⋮ Irrationality results for values of generalized Tschakaloff series

Cites Work

• A measure for the linear independence of certain numbers
• Arithmetic properties of special Heine series
• Linear independence of the values of transcendental solutions of certain functional equations.
• Zu einem Satz von Skolem über lineare Unabhängigkeiten von Werten gewisser Thetareihen. (On a theorem of Skolem on linear independence of values of certain theta series)
• Zur Irrationalität und linearen Unabhängigkeit der Werte der Lösungen einer Funktionalgleichung von Poincaré.
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