English

Normality in Pisot Numeration Systems

Number Theory 2015-09-02 v1 Dynamical Systems

Abstract

Copeland and Erd\H{o}s showed that the concatenation of primes when written in base 1010 yields a real number that is normal to base 1010. We generalize this result to Pisot number bases in which all integers have finite expansion.

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Cite

@article{arxiv.1503.08047,
  title  = {Normality in Pisot Numeration Systems},
  author = {Adrian-Maria Scheerer},
  journal= {arXiv preprint arXiv:1503.08047},
  year   = {2015}
}

Comments

11 pages

R2 v1 2026-06-22T09:03:41.836Z