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Powers of rationals modulo 1 and rational base number systems

โœ Scribed by Shigeki Akiyama; Christiane Frougny; Jacques Sakarovitch

Book ID
107529118
Publisher
The Hebrew University Magnes Press
Year
2008
Tongue
English
Weight
324 KB
Volume
168
Category
Article
ISSN
0021-2172

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๐Ÿ“œ SIMILAR VOLUMES

On the powers of 3/2 and other rational
On the powers of 3/2 and other rational numbers
โœ Artลซras Dubickas ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 144 KB

## 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 {__ฮพ__ (__p__ /__q__)^__n__^ }, __n__ = 0, 1, 2, โ€ฆ, for certain nonโ€zero real number __ฮพ__. We show, for ins