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Values of the Artin-Hasse exponential function at integers
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Numbers
$p$
$k$ 
$E_p(k)$
INPUT{numbers.yaml} (not shown in preview)
Definition
For a given prime $p$, the Artin-Hasse exponential function $E_p$ is defined as the power series $E_p(x) = \exp \sum_{n=0}^\infty \frac{x^{p^n}}{p^n}$. Its radius of convergence in $\mathbb{Q}_p$ around $0$ equals $1$. This table contains values $E_p(k) \in \mathbb{Z}_p$ of the $p$-adic Artin-Hasse exponential function $E_p$ at certain integers $k$.
Parameters
$p$
—   integer (prime)
$k$
—   integer ($|k|_p < 1$)
Links
Data properties
Entries are of type: p-adic number
Table is complete: no