Abstract
Let F be an absolutely irreducible form in n variables, that is defined over the integers and has degree d>1. This paper is concerned with the number N(F;B) of rational points on the hypersurface F=0 which have height at most B. An essentially best possible upper bound is obtained for N(F;B),
whenever either n
| Translated title of the contribution | Counting rational points on hypersurfaces |
|---|---|
| Original language | English |
| Pages (from-to) | 83 - 115 |
| Number of pages | 33 |
| Journal | Journal für die reine und angewandte Mathematik |
| Volume | 584 |
| DOIs | |
| Publication status | Published - Jul 2005 |
Bibliographical note
Publisher: Walter de Gruyer GmbH & CoFingerprint
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