On the distance from a rational power to the nearest integer

By Arturas Dubickas. 2006

47 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3a121be9e3eff74f8c546f152ef09c62bd1a032c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Jacques Sakarovitch
2. Christiane Frougny
3. Shigeki Akiyama

In Computational Theory and Mathematics

1. Jacques Sakarovitch
2. Christiane Frougny
3. Shigeki Akiyama
4. Anne Siegel
5. Wolfgang Steiner
6. Val'erie Berth'e
7. Jörg M. Thuswaldner
8. Hui Rao

In Mathematical Physics

1. Jacques Sakarovitch
2. Christiane Frougny
3. Shigeki Akiyama
4. Anne Siegel
5. Wolfgang Steiner
6. Jörg M. Thuswaldner
7. Val'erie Berth'e
8. Hui Rao

Citations in the corpus

• Powers of rationals modulo 1 and rational base number systems (2008, result): “This is to be compared with a recent result of Dubickas [6] who showed that ||x(3/2)n|| 0.238117 . . . (n = 0, 1, . . . ) implies that x = 0 — hence extending his result [5] on the distribution of {xαn} which works basically for any algebraic number α.”