Journal of Integer Sequences, Vol. 16 (2013), Article 13.2.12

Construction of Normal Numbers via Generalized Prime Power Sequences


M. G. Madritsch and R. F. Tichy
Department for Analysis and Computational Number Theory
Graz University of Technology
A-8010 Graz
Austria

Abstract:

We construct normal numbers in base q by concatenating q-adic expansions of prime powers $\left\lfloor\alpha p^\theta\right\rfloor$ with $\alpha>0$ and $\theta>1$.

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Received July 23 2012; revised version received October 31 2012. Published in Journal of Integer Sequences, March 2 2013.

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