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 |
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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 |