On small fractional parts of polynomials
| dc.creator | Moshchevitin, Nikolay G. | |
| dc.date | 2007-11-12 | |
| dc.date.accessioned | 2026-07-07T08:42:21Z | |
| dc.date.available | 2026-07-07T08:42:21Z | |
| dc.description | We prove that for any real polynomial $f(x) \in\mathbb{R} [x]$ the set $$ \{α\in \mathbb{R}: \liminf_{n\to \infty} n\log n ||αf(n)|| >0\} $$ has positive Hausdorff dimension. Here $||ξ||$ means the distance from $ξ$ to the nearest integer. Our result is based on an original method due to Y. Peres and W. Schlag. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0711.1753 | |
| dc.identifier | http://arxiv.org/abs/0711.1753 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141931 | |
| dc.subject | Number Theory | |
| dc.subject | 11J54 | |
| dc.title | On small fractional parts of polynomials | |
| dc.type | text |