Counting rational points on hypersurfaces
For any n ≧ 2, let F ε ℤ[x1, . . . , xn] be a form of degree d ≧ 2, which produces a geometrically irreducible hypersurface in ℙn-1. This paper is concerned with the number N(F;B) of rational points on F = 0 which have height at most B. For any ε > 0 we establish the estimate N(F;B) = O(Bn-2+...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2005
|