A transcendence criterion for continued fractions in \(\mathbb K_p((X^{-1}))\)
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Publication:817731
DOI10.1016/j.jnt.2005.03.008zbMath1162.11035OpenAlexW2028198369MaRDI QIDQ817731
Mohamed Mkaouar, Mohamed Hbaib, Khaled Tounsi
Publication date: 20 March 2006
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2005.03.008
Continued fractions and generalizations (11J70) Continued fractions (11A55) Approximation in non-Archimedean valuations (11J61)
Related Items (4)
Continued fractions and transcendence of formal power series over a finite field ⋮ Unnamed Item ⋮ On The Geometric Continued Fractions in Positive Characteristic ⋮ A Transcendental Unbounded Continued Fraction Expansions over A Finite Field
Cites Work
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- Continued fractions for certain algebraic power series
- Real numbers with bounded partial quotients: A survey
- Continued fractions of algebraic power series in characteristic 2
- Transcendence of Thue-Morse continued fractions
- Patterns of continued fractions for the analogues of \(e\) and related numbers in the function field case
- Transcendence of Sturmian or morphic continued fractions
- Exponential and continued fractions
- Diophantine approximation exponents and continued fractions for algebraic power series
- On simultaneous approximations of two algebraic numbers by rationals
- Continued fractions of transcendental numbers
- Rational approximations to algebraic numbers
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