Continued fractions in local fields, II

DOI10.1090/S0025-5718-00-01296-5zbMath0983.11042MaRDI QIDQ2719080

Jerzy Browkin

Publication date: 14 May 2001

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

zbMATH Keywords

periodicity\(p\)-adic continued fractionscontinued fractions algorithm

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Other nonanalytic theory (11S85)

Related Items (20)

Transcendence of Thue-Morse \(p\)-adic continued fractions ⋮ On the periodicity of an algorithm for \(p\)-adic continued fractions ⋮ Large algebraic integers ⋮ On periodicity of \(p\)-adic Browkin continued fractions ⋮ Convergence conditions for \(p\)-adic continued fractions ⋮ On the quasi-palindromic \(p\)-adic Ruban continued fractions ⋮ Continued fractions in the field of 𝑝-adic numbers ⋮ On the Maillet-Baker Ruban continued fractions in the \(p\)-adic field ⋮ Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ On the finiteness of $\mathfrak{P}$-adic continued fractions for number fields ⋮ Periodic Representations and Approximations of p -adic Numbers Via Continued Fractions ⋮ A new algorithm for 𝑝-adic continued fractions ⋮ On the finiteness and periodicity of the 𝑝-adic Jacobi–Perron algorithm ⋮ An effective criterion for periodicity of $\ell $-adic continued fractions ⋮ Simultaneous approximations to \(p\)-adic numbers and algebraic dependence via multidimensional continued fractions ⋮ Periodic representations and rational approximations of square roots ⋮ On $p$-adic multidimensional continued fractions ⋮ Multidimensional $p$-adic continued fraction algorithms ⋮ Periodic representations for quadratic irrationals in the field of 𝑝-adic numbers ⋮ Cyclotomic approximation lattices

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
• Periodicity properties 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
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