Article ID Journal Published Year Pages File Type
4588283 Journal of Algebra 2008 14 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory