On the periodicity of an algorithm for \(p\)-adic continued fractions

DOI10.1007/s10231-023-01347-6arXiv2201.12019OpenAlexW4379053577MaRDI QIDQ6046855

Giordano Santilli, Nadir Murru, Giuliano Romeo

Publication date: 6 October 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.12019

zbMATH Keywords

continued fractions\(p\)-adic numbersquadratic irrational

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fraction calculations (number-theoretic aspects) (11Y65) Non-Archimedean valued fields (12J25) (p)-adic and power series fields (11D88)

Related Items (2)

Continued fractions in the field of 𝑝-adic numbers ⋮ A new algorithm for 𝑝-adic continued fractions

Cites Work

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• Periodicity of \(p\)-adic continued fractions
• Approximation lattices of \(p\)-adic numbers
• Periodicity of P-adic continued fraction expansions
• Note on \(p\)-adic continued fractions
• p-adische Kettenbrüche und Irrationalität p-adischer Zahlen
• Continued fractions in local fields, II
• An effective criterion for periodicity of $\ell $-adic continued fractions
• Periodic representations for quadratic irrationals in the field of 𝑝-adic numbers
• On the finiteness of $\mathfrak{P}$-adic continued fractions for number fields

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