On a family of 2-automatic sequences generating algebraic continued fractions in characteristic 2

Yining Hu

doi:10.1016/j.ffa.2023.102191

On a family of 2-automatic sequences generating algebraic continued fractions in characteristic 2

Yining Hu

School of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We present family of automatic sequences that define algebraic continued fractions in characteristic 2. This family is constructed from ultimately period words and contains the period-doubling sequence.

Original language	English
Article number	102191
Journal	Finite Fields and their Applications
Volume	88
DOIs	https://doi.org/10.1016/j.ffa.2023.102191
State	Published - Jun 2023

Keywords

Algebraicity
Automatic sequence
Continued fraction
Period-doubling sequence

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10.1016/j.ffa.2023.102191

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title = "On a family of 2-automatic sequences generating algebraic continued fractions in characteristic 2",

abstract = "We present family of automatic sequences that define algebraic continued fractions in characteristic 2. This family is constructed from ultimately period words and contains the period-doubling sequence.",

keywords = "Algebraicity, Automatic sequence, Continued fraction, Period-doubling sequence",

author = "Yining Hu",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",

year = "2023",

month = jun,

doi = "10.1016/j.ffa.2023.102191",

language = "英语",

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AB - We present family of automatic sequences that define algebraic continued fractions in characteristic 2. This family is constructed from ultimately period words and contains the period-doubling sequence.

KW - Algebraicity

KW - Automatic sequence

KW - Continued fraction

KW - Period-doubling sequence

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DO - 10.1016/j.ffa.2023.102191

M3 - 文章

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SN - 1071-5797

VL - 88

JO - Finite Fields and their Applications

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On a family of 2-automatic sequences generating algebraic continued fractions in characteristic 2

Abstract

Keywords

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