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Normality of some p—adic product expansions
Published online by Cambridge University Press: 09 April 2009
Abstract
We consider two unique products for a given p—adic integer x with leading coefficient 1, where anbn ∈ {0, 1,… p − 1}. It is shown that, for almost all such x relative to Haar measure on the p—adic integers, the sequences (an), (bn) are normal to base p, and have standard normal distribution functions.
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- Copyright © Australian Mathematical Society 1990