p-Adic Continued Fractions of Liouville Type

DOI10.2307/2046378zbMath0636.10027OpenAlexW4237571979MaRDI QIDQ3775621

Vichian Laohakosol, Patchara Ubolsri

Publication date: 1987

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2046378

zbMATH Keywords

algebraic independenceLiouville numbersp-adic continued fractions

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Continued fractions and generalizations (11J70) Approximation in non-Archimedean valuations (11J61)

Related Items (11)

On Schneider's continued fraction map on a complete non-Archimedean field ⋮ Transcendental \(p\)-adic continued fractions ⋮ On the quasi-palindromic \(p\)-adic Ruban continued fractions ⋮ Continued fractions in the field of 𝑝-adic numbers ⋮ Periodic Representations and Approximations of p -adic Numbers Via Continued Fractions ⋮ Unnamed Item ⋮ Simultaneous approximations to \(p\)-adic numbers and algebraic dependence via multidimensional continued fractions ⋮ Recurrent properties of quasi-periodic dynamical systems with multiple frequencies of \(p\)-adic Liouville numbers ⋮ A note on algebraic independence criterion for Laurent series in positive characteristic ⋮ Periodic representations and rational approximations of square roots ⋮ On $p$-adic multidimensional continued fractions

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