Dynamics of the p -adic Shift and Applications

There is a natural continuous realization of the one-sided Bernoulli shift on the [p] -adic integers as the map that shifts the coefficients of the [p] -adic expansion to the left. We study this map's Mahler power series expansion. We prove strong results on [p] -adic valuations of the coeffici...

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Bibliographic Details
Main Authors: Kingsbery, James (Author), Levin, Alexander (Contributor), Preygel, Anatoly (Contributor), Silva, Cesar E. (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: American Institute of Mathematical Sciences, 2012-06-14T18:51:01Z.
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