Affiliation:
1. Facultad de Ciencias Exactas y Naturales Departamento de Computación Universidad de Buenos Aires e ICC CONICET Buenos Aires Argentina
2. Facultad de Ciencias Exactas y Naturales Departamento de Computación Universidad de Buenos Aires Buenos Aires Argentina
3. Institut Élie Cartan Université de Lorraine Vandœuvre‐lès‐Nancy France
Abstract
AbstractGiven an integer and a set of prime numbers, the set of Toeplitz numbers comprises all elements of [0, b[ whose digits in the base‐b expansion satisfy for all and . Using a completely additive arithmetical function, we construct a number in that is simply Borel normal if, and only if, . We then provide an effective bound for the discrepancy.