Periodic Representations and Approximations of p -adic Numbers Via Continued Fractions

DOI10.1080/10586458.2021.2011491OpenAlexW4200420393WikidataQ114099352 ScholiaQ114099352MaRDI QIDQ6192600

Stefano Barbero, Nadir Murru, Umberto Cerruti

Publication date: 11 March 2024

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10586458.2021.2011491

zbMATH Keywords

continued fractions\(p\)-adic numbersquadratic irrationals\(p\)-adic approximations

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Non-Archimedean valued fields (12J25)

Related Items

Continued fractions in the field of 𝑝-adic numbers

Cites Work

• Periodic representations and rational approximations of square roots
• Sur le développement de \(\sqrt{m}\) en fraction continue p-adique. (On the expansion of \(\sqrt{m}\) in a p-adic continued fraction)
• Periodicity of \(p\)-adic continued fractions
• Note on \(p\)-adic continued fractions
• Transcendental \(p\)-adic continued fractions
• On the metric theory of \(p\)-adic continued fractions
• Continued fractions in local fields, II
• p-Adic Continued Fractions of Liouville Type
• An effective criterion for periodicity of $\ell $-adic continued fractions
• Periodic representations for quadratic irrationals in the field of 𝑝-adic numbers
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