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The Rudin-Shapiro sequence and similar sequences are normal along squares. (arXiv:1704.06472v1 [math.NT])

来源于:arXiv
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. 查看全文>>