On a number of rational points on a convex curve
| dc.creator | Petrov, Fedor V. | |
| dc.date | 2005-03-15 | |
| dc.date.accessioned | 2026-07-07T05:17:58Z | |
| dc.date.available | 2026-07-07T05:17:58Z | |
| dc.description | Let $γ$ be a bounded convex curve on a plane. Then $\sharp (γ\cap (\Z/n)^2)=o(n^{2/3})$. It streghtens the classical result of Jarn\'ık (an upper estimate $O(n^{2/3})$) and disproves a conjecture of Vershik on existence of the so-called {\it universal Jarn\'ık curve}. | |
| dc.description | 8 pages, submitted to FAA | |
| dc.identifier | https://arxiv.org/abs/math/0503304 | |
| dc.identifier | http://arxiv.org/abs/math/0503304 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74503 | |
| dc.subject | Number Theory | |
| dc.subject | Metric Geometry | |
| dc.subject | 11H06 | |
| dc.title | On a number of rational points on a convex curve | |
| dc.type | text |