Function fields in positive characteristic: Expansions and Cobham's theorem

JOURNAL OF ALGEBRA

卷:319

Article

Adamczewski, Boris¹  Bell, Jason² 

[1] Univ Lyon 1, CNRS, Univ Lyon, Inst Camille Jordan, F-69622 Villeurbanne, France

[2] Simon Fraser Univ, Dept Math, Burnaby, BC V5A 1S6, Canada

关键词: automatic sequences;    Cobham's theorem;    Christol's theorem;    Hahn's power series;   

DOI  :  10.1016/j.jalgebra.2007.06.039

来源: Elsevier

【 摘 要 】

In the vein of Christol, Kamae, Mendes France and Rauzy, we consider the analogue of a problem of Mahler for rational functions in positive characteristic. To solve this question, we prove an extension of Cobham's theorem for quasi-automatic functions and use the recent generalization of Christol's theorem obtained by Kedlaya. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free