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

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

In the vein of Christol, Kamae, Mendès 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.  2008 Elsevier Inc. All rights reserved.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2008

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2007.06.039