P-adic exponential function: Difference between revisions

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Arthur Rubin is a stalker. Never mind that e is transcendental; it could not be more obvious that it has a homology. Does someone have time to write up why the natural interpretation of a^p^x is not helpful?
Reverted 1 edit by 64.134.229.15 (talk): Does anyone see how "double exponential" _is_ relevant, and calculators should not be here. (TW)
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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 &mdash; the [[Artin–Hasse exponential]] &mdash; can be used instead which converges on |''z''|<sub>''p''</sub>&nbsp;&lt;&nbsp;1.
 
==See also==
* [[Double exponential function]]
 
==Notes==
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==External links==
* {{planetmath reference|id=7000|title=p-adic exponential and p-adic logarithm}}
* [http://homes.esat.kuleuven.be/~fvercaut/talks/pAdic.pdf Efficient p-adic arithmetic] (slides)
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[[Category:Exponentials]]
[[Category:p-adic arithmetic]]
[[Category:p-adic numbers]]