Multidimensional $p$-adic continued fraction algorithms

DOI10.1090/mcom/3458zbMath1451.11075arXiv1705.06122OpenAlexW2964122235MaRDI QIDQ5235103

Shin-ichi Yasutomi, Asaki Saito, Jun-ichi Tamura

Publication date: 7 October 2019

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06122

zbMATH Keywords

continued fractionsmultidimensional \(p\)-adic continued fraction algorithms

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Approximation in non-Archimedean valuations (11J61)

Related Items (3)

Continued fractions in the field of 𝑝-adic numbers ⋮ Ergodicity for \(p\)-adic continued fraction algorithms ⋮ Periodic representations for quadratic irrationals in the field of 𝑝-adic numbers

Uses Software

• GiNaC

Cites Work

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• On periodicity of geodesic continued fractions
• Periodicity of \(p\)-adic continued fractions
• p-adische Kettenbrüche und Irrationalität p-adischer Zahlen
• Introduction to the GiNaC framework for symbolic computation within the \(\text{C}^{++}\) programming language
• Transcendental \(p\)-adic continued fractions
• Continued fractions in local fields, II
• Pseudorandom number generation using chaotic true orbits of the Bernoulli map

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