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, Levin, Alexander, Preygel, Anatoly, Silva, Cesar E.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Institute of Mathematical Sciences 2012
Online Access:http://hdl.handle.net/1721.1/71153