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.
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页码：1 / 23
页数：23
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