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arXiv · 1704.06472

The Rudin-Shapiro sequence and similar sequences are normal along squares

Clemens Müllner
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Abstract

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.

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Clemens Müllner. 2017-04-21. The Rudin-Shapiro sequence and similar sequences are normal along squares. https://arxiv.org/abs/1704.06472

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