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Note that there is no analogue in '''C'''<sub>''p''</sub> of [[Euler's identity]], ''e''<sup>2''πi''</sup> = 1. This is a corollary of [[Strassmann's theorem]].
Another major difference to the situation in '''C''' is that the ___domain of convergence of exp<sub>''p''</sub> is much smaller than that of log<sub>''p''</sub>. A modified exponential function — the [[Artin–Hasse exponential]] — can be used instead which converges on |''z''|<sub>''p''</sub> < 1
==References==
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