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Continued fractions in the field of 𝑝-adic numbers - MaRDI portal

Continued fractions in the field of 𝑝-adic numbers (Q6130531)

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scientific article; zbMATH DE number 7827001

Language	Label	Description	Also known as
English	Continued fractions in the field of 𝑝-adic numbers	scientific article; zbMATH DE number 7827001

Statements

scholarly article

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Continued fractions in the field of 𝑝-adic numbers (English)

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Bulletin of the American Mathematical Society

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publication date

3 April 2024

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full work available at URL

https://arxiv.org/abs/2306.14837

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MaRDI profile type

MaRDI publication profile

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Periodic representations and rational approximations of square roots

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On the complexity of algebraic numbers. I: Expansions in integer bases

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On the complexity of algebraic numbers. II: Continued fractions

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Palindromic continued fractions

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Continued fractions and transcendental numbers

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On the quasi-periodic $p$-adic Ruban continued fractions

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On the quasi-palindromic \(p\)-adic Ruban continued fractions

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On simultaneous rational approximation to a <i>p</i>-adic number and its integral powers, II

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Continued fractions of transcendental numbers

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

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Periodic Representations and Approximations of <i>p</i> -adic Numbers Via Continued Fractions

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Periodicity properties of \(p\)-adic continued fractions

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Note on \(p\)-adic continued fractions

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Sur le développement de \(\sqrt{m}\) en fraction continue p-adique. (On the expansion of \(\sqrt{m}\) in a p-adic continued fraction)

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Transcendence of Thue-Morse \(p\)-adic continued fractions

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The Jacobi-Perron algorithm its theory and application

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Continued fractions in local fields, II

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On simultaneous rational approximation to a real number and its integral powers

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On simultaneous uniform approximation to a $p$-adic number and its square

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On simultaneous rational approximation to a<i>p</i>-adic number and its integral powers

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Quadratic approximation in ℚ<sub>p</sub>

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p-adische Kettenbrüche und Irrationalität p-adischer Zahlen

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

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On the finiteness of $\mathfrak{P}$-adic continued fractions for number fields

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An effective criterion for periodicity of $\ell $-adic continued fractions

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Periodicity of P-adic continued fraction expansions

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p-adic continued fractions III

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A division algorithm approach to \(p\)-adic Sylvester expansions

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\(p\)-adic numbers: An introduction.

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On Schneider's continued fraction map on a complete non-Archimedean field

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On the metric theory of \(p\)-adic continued fractions

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\(p\)-adic continued fractions

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On the digits of Schneider's \(p\)-adic continued fractions

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On Hermite’s problem, Jacobi–Perron type algorithms, and Dirichlet groups

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p-Adic Continued Fractions of Liouville Type

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Simultaneous rational approximation to the successive powers of a real number

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On a geometrical representation of p-adic numbers

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A new algorithm for 𝑝-adic continued fractions

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

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Convergence conditions for \(p\)-adic continued fractions

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On $p$-adic multidimensional continued fractions

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On the finiteness and periodicity of the 𝑝-adic Jacobi–Perron algorithm

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Simultaneous approximations to \(p\)-adic numbers and algebraic dependence via multidimensional continued fractions

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Transcendental \(p\)-adic continued fractions

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Schneider's \(p\)-adic continued fractions

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Transcendence of Thue-Morse continued fractions

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Ergodicity for \(p\)-adic continued fraction algorithms

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A class of continued fractions associated with certain properly discontinuous groups

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Continued Fractions in Algebraic Number Fields

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Rational approximations to algebraic numbers

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Multidimensional $p$-adic continued fraction algorithms

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Continued fraction algorithms and Lagrange's theorem in ${\mathbb Q}_p$

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On products of special linear forms with algebraic coefficients

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On simultaneous approximations of two algebraic numbers by rationals

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Approximation lattices of \(p\)-adic numbers

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Periodicity of \(p\)-adic continued fractions

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Identifiers

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10.1090/bull/1819

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6130531

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