Periodic representations for quadratic irrationals in the field of 𝑝-adic numbers

DOI10.1090/mcom/3640zbMath1469.11231OpenAlexW3155966562MaRDI QIDQ4999480

Nadir Murru, Stefano Barbero, Umberto Cerruti

Publication date: 7 July 2021

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

Full work available at URL: https://doi.org/10.1090/mcom/3640

zbMATH Keywords

continued fractions\(p\)-adic numbersquadratic irrationalsBrowkin algorithm

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Non-Archimedean valued fields (12J25) Approximation in non-Archimedean valuations (11J61)

Related Items (5)

On the periodicity of an algorithm for \(p\)-adic continued fractions ⋮ Convergence conditions for \(p\)-adic continued fractions ⋮ Continued fractions in the field of 𝑝-adic numbers ⋮ Periodic Representations and Approximations of p -adic Numbers Via Continued Fractions ⋮ A new algorithm for 𝑝-adic continued fractions

Uses Software

• OEIS

Cites Work

• Periodic representations and rational approximations of square roots
• Note on \(p\)-adic continued fractions
• Transcendental \(p\)-adic continued fractions
• Continued fractions in local fields, II
• Transforming Recurrent Sequences by Using the Binomial and Invert Operators
• An effective criterion for periodicity of $\ell $-adic continued fractions
• On the finiteness and periodicity of the 𝑝-adic Jacobi–Perron algorithm
• Neverending Fractions
• On $p$-adic multidimensional continued fractions
• Multidimensional $p$-adic continued fraction algorithms
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