Powers of Rational Numbers Modulo 1 Lying in Short Intervals
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Mathematics (miscellaneous)
Link
http://link.springer.com/content/pdf/10.1007/s00025-009-0001-0.pdf
Reference13 articles.
1. Akhunzhanov R.K., Moshchevitin N.G.: On the chromatic number of a distance graph associated with a lacunary sequence. Dokl. Ross. Akad. Nauk. 397, 295–296 (2004) (in Russian)
2. Akiyama S., Frougny C., Sakarovitch J.: Powers of rationals modulo 1 and rational base number systems. Isr. J. Math. 168, 53–91 (2008)
3. Bugeaud Y.: Linear mod one transformations and the distribution of fractional parts {ξ (p/q) n }. Acta Arith. 114, 301–311 (2004)
4. Dubickas A.: On the fractional parts of lacunary sequences. Math. Scand. 99, 136–146 (2006)
5. Dubickas A.: On the distance from a rational power to the nearest integer. J. Number Theory 117, 222–239 (2006)
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1. Integral Powers of Numbers in Small Intervals Modulo 1: The Cardinality Gap Phenomenon;Uniform distribution theory;2017-06-27
2. Quantitative uniform distribution results for geometric progressions;Israel Journal of Mathematics;2014-06-20
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