Computable absolutely Pisot normal numbers

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Abstract

We analyze the order of convergence to normality of an algorithm producing the digits of an absolutely normal number in polynomial time. Furthermore, we consider a stronger concept of absolute normality by allowing Pisot numbers of arbitrary degree as bases.
Original languageEnglish
Pages (from-to)7 - 29
JournalActa arithmetica
Volume2018
Issue number184
DOIs
Publication statusPublished - 2018
Externally publishedYes

Keywords

  • normal number
  • Pisot numbers
  • uniform distribution theory

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