On absolutely normal numbers and their discrepancy estimate

Autor:	Becher, Verónica, Scheerer, Adrian-Maria, Slaman, Theodore
Rok vydání:	2017
Předmět:	Mathematics - Number Theory Computer Science - Other Computer Science 11K16 (primary) 11Y16 68-04(secondary)
Druh dokumentu:	Working Paper
Popis:	We construct the base $2$ expansion of an absolutely normal real number $x$ so that, for every integer $b$ greater than or equal to $2$, the discrepancy modulo $1$ of the sequence $(b^0 x, b^1 x, b^2 x , \ldots)$ is essentially the same as that realized by almost all real numbers. Comment: This paper has been superseded by: "On the construction of absolutely normal numbers" by Christoph Aistleitner, Ver\'onica Becher, Adrian-Maria Scheerer and Theodore Slaman, July 2017, arXiv:1707.02628, http://arxiv.org/abs/1707.02628
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1702.04072 Zobrazit plný text záznamu View this record from Arxiv