Locally analytic functions in a local field of positive characteristic

JOURNAL OF NUMBER THEORY

卷:132

Article

Jeong, Sangtae

关键词: pi-Adic locally analytic functions;    Continuous functions;    Fermat quotient operators;    Fermat-Carlitz quotient operators;    Positive characteristic;   

DOI  :  10.1016/j.jnt.2011.09.011

来源: Elsevier

【 摘 要 】

In a recent paper (Buium et al., 2011 [3]), Buium et al. proved that f is a locally analytic function from the p-adic integers. Z(p) to itself if and only if it is written as a restricted power series over Z(p) with finitely many iterates of the Fermat quotient operator. In this paper we establish the function field analogs of their result. In addition, we deduce Wagner's result, which is the function field analog of Mahler's result for continuous functions on Z(p). (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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