Arithmetic differential operators on Z_p

Details Arithmetic differential operators on Z_p Arithmetic differential operators on Z_p

2008-08-05

arxiv.org/abs/0808.0688v1

Mathematics

Number Theory

Scientific paper

We prove that a function f from Z_p to itself is analytic if and only if it
can be represented as f(x)=F(x, dx, ..., d^r x) where dx=(x-x^p)/p is the
Fermat quotient operator and F is a restricted power series with coefficients
in Z_p.

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