Computable absolutely Pisot normal numbers
Volume 184 / 2018
Acta Arithmetica 184 (2018), 7-29
MSC: Primary 11K16; Secondary 11Y16.
DOI: 10.4064/aa8661-8-2017
Published online: 30 April 2018
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.