Automatic β-expansions of formal Laurent series over finite fields

被引：4

作者：

Scheicher, Klaus ^{[1
]}

Sirvent, Victor F. ^{[2
]}

机构：

[1] Univ Bodenkultur Wien, Inst Math, A-1180 Vienna, Austria

[2] Univ Simon Bolivar, Dept Matemat, Caracas 1086-A, Venezuela

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2014年 / 27卷

基金：

奥地利科学基金会;

关键词：

Formal Laurent series; beta-Expansions; Finite fields; Automatic sequences; POWER-SERIES;

D O I：

10.1016/j.ffa.2013.12.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider beta-expansions of formal Laurent series over finite fields. If the base beta is a Pisot or Salem series, we prove that the beta-expansion of a Laurent series alpha is automatic if and only if alpha is algebraic. (c) 2014 Elsevier Inc. All rights reserved.

引用

页码：1 / 23

页数：23

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