Hyperquadratic continued fractions and automatic sequences

DOI10.1016/j.ffa.2016.03.002zbMath1409.11051arXiv1509.09075OpenAlexW2210915795MaRDI QIDQ285457

Alain Lasjaunias, Jia-Yan Yao

Publication date: 19 May 2016

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.09075

zbMATH Keywords

finite fieldscontinued fractionsautomatic sequencesfinite automatapower series over a finite field

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Automata sequences (11B85) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items

On the algebraicity of Thue–Morse and period-doubling continued fractions ⋮ A note on hyperquadratic continued fractions in characteristic 2 with partial quotients of degree 1 ⋮ On the automaticity of sequences defined by the Thue–Morse and period-doubling Stieltjes continued fractions ⋮ On a two-valued sequence and related continued fractions in power series fields ⋮ On certain recurrent and automatic sequences in finite fields

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