| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4594468 | Journal of Number Theory | 2011 | 10 Pages |
Abstract
Given a prime p, we let δx=(x−xp)/p be the Fermat quotient operator over Zp. We prove that a function f:Zp→Zp is analytic if, and only if, there exists m such that f can be represented as f(x)=F(x,δx,…,δmx), where F is a restricted power series with Zp-coefficients in m+1 variables.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
