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The Rudin-Shapiro sequence and similar sequences are normal along squares by Müllner, Clemens is a scholarly article available to read on EtoBox.

What is The Rudin-Shapiro sequence and similar sequences are normal along squares about?

We prove that digital sequences modulo $m$ along squares are normal, which covers some prominent sequences like the sum of digits in base $q$ modulo $m$, the Rudin-Shapiro sequence and some generalizations. This gives, for any base, a class of explicit normal numbers that can be efficiently generated.

Author

Müllner, Clemens

Published

2017

Language

EN