| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4594892 | Journal of Number Theory | 2009 | 9 Pages |
Abstract
TextWe prove that for any real polynomial f(x)∈R[x]f(x)∈R[x] the set{α∈R:lim infn→∞nlogn‖αf(n)‖>0} has positive Hausdorff dimension. Here ‖ξ‖‖ξ‖ means the distance from ξ to the nearest integer. Our result is based on an original method due to Y. Peres and W. Schlag.VideoFor a video summary of this paper, please visit http://www.youtube.com/watch?v=GNWDrfQnV2c.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
N.G. Moshchevitin,