Continued fractions in the field of š-adic numbers
From MaRDI portal
Publication:6130531
DOI10.1090/bull/1819arXiv2306.14837OpenAlexW4391885360MaRDI QIDQ6130531
Publication date: 3 April 2024
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.14837
Continued fractions and generalizations (11J70) Continued fraction calculations (number-theoretic aspects) (11Y65) Non-Archimedean valued fields (12J25) (p)-adic and power series fields (11D88)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Transcendence of Thue-Morse \(p\)-adic continued fractions
- On simultaneous rational approximation to a real number and its integral powers
- \(p\)-adic continued fractions
- Periodic representations and rational approximations of square roots
- Sur le dƩveloppement de \(\sqrt{m}\) en fraction continue p-adique. (On the expansion of \(\sqrt{m}\) in a p-adic continued fraction)
- A division algorithm approach to \(p\)-adic Sylvester expansions
- 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
- Transcendence of Thue-Morse continued fractions
- \(p\)-adic numbers: An introduction.
- Simultaneous rational approximation to the successive powers of a real number
- Transcendental \(p\)-adic continued fractions
- On the digits of Schneider's \(p\)-adic continued fractions
- On the metric theory of \(p\)-adic continued fractions
- Ergodicity for \(p\)-adic continued fraction algorithms
- On Schneider's continued fraction map on a complete non-Archimedean field
- Simultaneous approximations to \(p\)-adic numbers and algebraic dependence via multidimensional continued fractions
- Continued fractions and transcendental numbers
- Palindromic continued fractions
- On the complexity of algebraic numbers. II: Continued fractions
- On simultaneous approximations of two algebraic numbers by rationals
- The Jacobi-Perron algorithm its theory and application
- On the complexity of algebraic numbers. I: Expansions in integer bases
- On a geometrical representation of p-adic numbers
- A class of continued fractions associated with certain properly discontinuous groups
- Schneider's \(p\)-adic continued fractions
- Continued fractions in local fields, II
- Quadratic approximation in āp
- On simultaneous uniform approximation to a $p$-adic number and its square
- On simultaneous rational approximation to ap-adic number and its integral powers
- Continued fractions of transcendental numbers
- p-adic continued fractions III
- p-Adic Continued Fractions of Liouville Type
- On products of special linear forms with algebraic coefficients
- Continued Fractions in Algebraic Number Fields
- An effective criterion for periodicity of $\ell $-adic continued fractions
- Periodic representations for quadratic irrationals in the field of š-adic numbers
- On simultaneous rational approximation to a p-adic number and its integral powers, II
- On Hermiteās problem, JacobiāPerron type algorithms, and Dirichlet groups
- On the finiteness and periodicity of the š-adic JacobiāPerron algorithm
- On $p$-adic multidimensional continued fractions
- Multidimensional $p$-adic continued fraction algorithms
- Continued fraction algorithms and Lagrange's theorem in ${\mathbb Q}_p$
- Rational approximations to algebraic numbers
- On the quasi-periodic $p$-adic Ruban continued fractions
- On the periodicity of an algorithm for \(p\)-adic continued fractions
- On periodicity of \(p\)-adic Browkin continued fractions
- Convergence conditions for \(p\)-adic continued fractions
- On the quasi-palindromic \(p\)-adic Ruban continued fractions
- 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 š-adic continued fractions
This page was built for publication: Continued fractions in the field of š-adic numbers