The continued fraction expansion of an algebraic power series satisfying a quartic equation

DOI10.1006/jnth.1995.1028zbMath0822.11051OpenAlexW2089986466MaRDI QIDQ1345289

Marshall W. Buck, David P. Robbins

Publication date: 2 March 1995

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

Full work available at URL: https://semanticscholar.org/paper/e88c584e1ab8387b967736dc1bf540985ad63457

zbMATH Keywords

power seriescontinued fraction expansionLaurent series over finite fields

Mathematics Subject Classification ID

Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Continued fractions and generalizations (11J70)

Related Items (8)

Hyperquadratic continued fractions and automatic sequences ⋮ Diophantine approximation and continued fraction expansions of algebraic power series in positive characteristic ⋮ Continued fractions for hyperquadratic power series over a finite field ⋮ Diophantine approximation exponents and continued fractions for algebraic power series ⋮ On the continued fraction expansion of the unique root in \(\mathbb F(p)\) of the equation \(x^4+x^2-Tx-1/12=0\) and other related hyperquadratic expansions ⋮ On a two-valued sequence and related continued fractions in power series fields ⋮ On Robbins' example of a continued fraction expansion for a quartic power series over \(\mathbb F_{13}\) ⋮ Diophantine approximation and continued fraction expansion for quartic power series over \(\mathbb{F}_3\)

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