Counting rational points on hypersurfaces
| dc.creator | Browning, T. D. | |
| dc.creator | Heath-Brown, D. R. | |
| dc.date | 2004-04-26 | |
| dc.date | 2005-03-18 | |
| dc.date.accessioned | 2026-07-07T05:07:43Z | |
| dc.date.available | 2026-07-07T05:07:43Z | |
| dc.description | Let $F(x_1,...,x_n)$ be a form of degree $d\geq 2$, which produces a geometrically irreducible hypersurface in $\mathbb{P}^{n-1}$. This paper is concerned with the number of rational points on F=0 which have height at most $B$. Whenever $n<6$, or whenever the hypersurface is not a union of lines, we obtain estimates that are essentially best possible and that are uniform in $d$ and $n$. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/math/0404456 | |
| dc.identifier | http://arxiv.org/abs/math/0404456 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70967 | |
| dc.subject | Number Theory | |
| dc.subject | 11G35 | |
| dc.title | Counting rational points on hypersurfaces | |
| dc.type | text |