The Rudin-Shapiro sequence and similar sequences are normal along squares
Number Theory
2017-11-15 v2
Abstract
We prove that digital sequences modulo along squares are normal, which covers some prominent sequences like the sum of digits in base modulo , the Rudin-Shapiro sequence and some generalizations. This gives, for any base, a class of explicit normal numbers that can be efficiently generated.
Keywords
Cite
@article{arxiv.1704.06472,
title = {The Rudin-Shapiro sequence and similar sequences are normal along squares},
author = {Clemens Müllner},
journal= {arXiv preprint arXiv:1704.06472},
year = {2017}
}
Comments
36 pages