Abstract
For any algebraic curve with unbounded branches in the plane, two numbers in [0, ∞] are defined that measure how closely to the curve it is possible to find infinitely many integer points. These numbers are shown to be 1 for almost all such curves. The state of the art in estimating these numbers for several classes of curves is also discussed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 10-26 |
| Number of pages | 17 |
| Journal | Journal of the London Mathematical Society |
| Volume | 65 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2002 |
ASJC Scopus subject areas
- General Mathematics