Boris Adamczewski & Jason Bell
Function fields in positive charcteristic: 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.
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