Transcendental \(p\)-adic continued fractions

DOI10.1007/s00209-017-1859-2zbMath1388.11040arXiv1407.0832OpenAlexW2473022998MaRDI QIDQ1686794

Tomohiro Ooto

Publication date: 15 December 2017

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

Full work available at URL: https://arxiv.org/abs/1407.0832

zbMATH Keywords

transcendencecontinued fractions\(p\)-adic numbers

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Transcendence (general theory) (11J81) Approximation in non-Archimedean valuations (11J61)

Related Items (16)

On periodicity of \(p\)-adic Browkin continued fractions ⋮ Convergence conditions for \(p\)-adic continued fractions ⋮ On the quasi-palindromic \(p\)-adic Ruban continued fractions ⋮ Continued fractions in the field of 𝑝-adic numbers ⋮ On the Maillet-Baker Ruban continued fractions in the \(p\)-adic field ⋮ On the finiteness of $\mathfrak{P}$-adic continued fractions for number fields ⋮ Periodic Representations and Approximations of p -adic Numbers Via Continued Fractions ⋮ A new algorithm for 𝑝-adic continued fractions ⋮ On the finiteness and periodicity of the 𝑝-adic Jacobi–Perron algorithm ⋮ Unnamed Item ⋮ An effective criterion for periodicity of $\ell $-adic continued fractions ⋮ On $p$-adic multidimensional continued fractions ⋮ ON p-ADIC CONTINUED FRACTIONS ⋮ Multidimensional $p$-adic continued fraction algorithms ⋮ Periodic representations for quadratic irrationals in the field of 𝑝-adic numbers ⋮ On the quasi-periodic $p$-adic Ruban continued fractions

Cites Work

• Periodicity of \(p\)-adic continued fractions
• Continued fractions of transcendental numbers
• p-adic continued fractions III
• p-Adic Continued Fractions of Liouville Type
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