Arithmetic differential operators on \(\mathbb Z_p\) (Q607041)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arithmetic differential operators on \(\mathbb Z_p\) |
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Arithmetic differential operators on \(\mathbb Z_p\) (English)
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19 November 2010
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Considering the Fermat quotient operator \(\delta_{a}=\frac{a-a^{p}}{p}\) on the ring or \(p\)-adic integers, the authors prove that any arithmetic differential operator on \(\mathbb{Z}_{p}\) of order \(m\) is an analytic function of level \(m\), and conversely.
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\(p\)-adic analytic functions
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Fermat quotients
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