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Normality in Pisot numeration systems

Published online by Cambridge University Press:  25 August 2015

ADRIAN-MARIA SCHEERER
ADRIAN-MARIA SCHEERER*
Affiliation:
TU Graz, Austria email scheerer@math.tugraz.at
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Abstract

Copeland and Erdös [Note on normal numbers. Bull. Amer. Math. Soc. (N.S.)52 (1946), 857–860] showed that the concatenation of primes when written in base 10 yields a real number that is normal to base 10. We generalize this result to Pisot number bases in which all integers have finite expansion.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 37 , Issue 2 , April 2017 , pp. 664 - 672
Copyright
© Cambridge University Press, 2015 

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