On periodicity of \(p\)-adic Browkin continued fractions

DOI10.1007/s00209-023-03333-3arXiv2010.07364OpenAlexW3092788426MaRDI QIDQ6090607

Lea Terracini, Laura Capuano, Nadir Murru

Publication date: 17 November 2023

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

Full work available at URL: https://arxiv.org/abs/2010.07364

zbMATH Keywords

periodicityquadratic irrationals\(p\)-adic continued fractions

Mathematics Subject Classification ID

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

Related Items (1)

Continued fractions in the field of 𝑝-adic numbers

Cites Work

• 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
• Folded continued fractions
• Transcendental \(p\)-adic continued fractions
• Continued fractions in local fields, II
• An effective criterion for periodicity of $\ell $-adic continued fractions
• On the finiteness and periodicity of the 𝑝-adic Jacobi–Perron algorithm
• On $p$-adic multidimensional continued fractions
• On Artin's conjecture.
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