Flat power series over a finite field

DOI10.1006/jnth.2001.2764zbMath1081.11050OpenAlexW2091391687MaRDI QIDQ701112

Jean-Jacques Ruch, Alain Lasjaunias

Publication date: 16 October 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2001.2764

zbMATH Keywords

finite fieldsfields of power seriescontinued fractions.

Mathematics Subject Classification ID

Finite fields and commutative rings (number-theoretic aspects) (11T99) Continued fractions and generalizations (11J70) Approximation in non-Archimedean valuations (11J61)

Related Items (7)

Continued fractions for hyperquadratic power series over a finite field ⋮ A note on hyperquadratic continued fractions in characteristic 2 with partial quotients of degree 1 ⋮ Perfect linear complexity profile and apwenian sequences ⋮ Hyperquadratic continued fractions in odd characteristic with partial quotients of degree one ⋮ On Robbins' example of a continued fraction expansion for a quartic power series over \(\mathbb F_{13}\) ⋮ On a family of sequences defined recursively in \(\mathbb F_q^{\ast}\). II ⋮ On a family of sequences defined recursively in \(\mathbb F_q\)

Cites Work

• Unnamed Item
• Continued fractions for certain algebraic power series
• Continued fractions of algebraic power series in characteristic 2
• Badly approximable power series in characteristic 2
• A survey of Diophantine approximation in fields of power series
• Algebraic and badly approximable power series over a finite field
• Quartic power series in $
• On continued fractions and diophantine approximation in power series fields

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