Normality in Pisot numeration systems
Scheerer, A. · MPG.PuRe (Max Planck Society) · 2017
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.