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On theG-compactifications of the rational numbers

✍ Scribed by Jan van Mill


Publisher
Springer Vienna
Year
2008
Tongue
English
Weight
187 KB
Volume
157
Category
Article
ISSN
0026-9255

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On the powers of 3/2 and other rational
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## Abstract Let__p__ > __q__ > 1 be two coprime integers. In this paper, we prove several results about subsets of the interval [0, 1) which does or does not contain all the fractional parts {__ΞΎ__ (__p__ /__q__)^__n__^ }, __n__ = 0, 1, 2, …, for certain non‐zero real number __ΞΎ__. We show, for ins