We extend the Davenport and Erdős construction of normal numbers to the case.
@article{bwmeta1.element.bwnjournal-article-cmv84i2p431bwm,
author = {Mordechay Levin and Meir Smorodinsky},
title = {A $$\mathbb{Z}$^{d}$ generalization of the Davenport-Erd\H os construction of normal numbers},
journal = {Colloquium Mathematicae},
volume = {84/85},
year = {2000},
pages = {431-441},
zbl = {1014.11046},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv84i2p431bwm}
}
Levin, Mordechay; Smorodinsky, Meir. A $ℤ^{d}$ generalization of the Davenport-Erdős construction of normal numbers. Colloquium Mathematicae, Tome 84/85 (2000) pp. 431-441. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv84i2p431bwm/
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