Badly approximable numbers and Littlewood-type problems
| dc.creator | Bugeaud, Yann | |
| dc.creator | Moshchevitin, Nikolay | |
| dc.date | 2009-05-06 | |
| dc.date.accessioned | 2026-07-07T13:12:17Z | |
| dc.date.available | 2026-07-07T13:12:17Z | |
| dc.description | We establish that the set of pairs $(α, β)$ of real numbers such that $$ \liminf_{q \to + \infty} q \cdot (\log q)^2 \cdot \Vert q α\Vert \cdot \Vert q β\Vert > 0, $$ where $\Vert \cdot \Vert$ denotes the distance to the nearest integer, has full Hausdorff dimension in $\R^2$. Our proof rests on a method introduced by Peres and Schlag, that we further apply to various Littlewood-type problems | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/0905.0830 | |
| dc.identifier | http://arxiv.org/abs/0905.0830 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229534 | |
| dc.subject | Number Theory | |
| dc.subject | 11J13, 11J25, 11K60 | |
| dc.title | Badly approximable numbers and Littlewood-type problems | |
| dc.type | text |