Diophantine approximation and continued fraction expansions of algebraic power series in positive characteristic

DOI10.1006/JNTH.1997.2160zbMath0874.11051OpenAlexW2055305178MaRDI QIDQ1363094

Alain Lasjaunias

Publication date: 17 August 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1997.2160

zbMATH Keywords

characteristic \(p\)continued fractionsdiophantine approximation

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Approximation in non-Archimedean valuations (11J61)

Related Items (4)

Hyperquadratic continued fractions and automatic sequences ⋮ Diophantine approximation exponents and continued fractions for algebraic power series ⋮ On a two-valued sequence and related continued fractions in power series fields ⋮ Diophantine approximation and continued fraction expansion for quartic power series over \(\mathbb{F}_3\)

Cites Work

• Continued fractions for certain algebraic power series
• Diophantine approximation in positive characteristic
• Continued fractions of algebraic power series in characteristic 2
• The continued fraction expansion of an algebraic power series satisfying a quartic equation
• Diophantine approximation in characteristic \(p\)
• Approximation exponents for algebraic functions in positive characteristic
• Thue's Theorem in positive characteristic.
• On a Theorem of Liouville in Fields of Positive Characteristic

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