Research output: Contribution to journal › Article › peer-review
Let γ be a bounded convex curve on the plane. Then #(γ ∩ (ℤ/n) 2) = o(n 2/3). This strengthens the classical result due to Jarník [J] (the upper bound cn 2/3) and disproves the conjecture on the existence of a so-called universal Jarník curve.
| Original language | English |
|---|---|
| Pages (from-to) | 24-33 |
| Number of pages | 10 |
| Journal | Functional Analysis and its Applications |
| Volume | 40 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2006 |
ID: 49850509