A transcendence criterion for continued fractions in \(\mathbb K_p((X^{-1}))\)

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

zbMATH Keywords

bounded sequence of partial quotientscontinued fractions of formal power series

Mathematics Subject Classification ID

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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