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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>>