Introduction to p - adic q - difference equations ( weak Frobenius structure and transfer theorems )
نویسنده
چکیده
Inspired by the theory of p-adic differential equations, this paper introduces an analogous theory for q-difference equations over a local field, when |q| = 1. We define some basic concepts, for instance the generic radius of convergence, introduce technical tools, such as a twisted Taylor formula for analytic functions, and prove some fundamental statements, such as an effective bound theorem, the existence of a weak Frobenius structure and a transfer theorem in regular singular disks. 2000 Mathematics Subject Classification: 12H10, 12H25, 39A13, 65Q05.
منابع مشابه
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تاریخ انتشار 2003