Heath-Brown, D. R. and Browning, T. D. (2005) Counting rational points on hypersurfaces. J. Reine Angew. Math., 584 . pp. 83-115.
For any , let be a form of degree , which produces a geometrically irreducible hypersurface in . This paper is concerned with the number of rational points on which have height at most . For any we establish the estimate
whenever either or the hypersurface is not a union of lines. Here the implied constant depends at most upon and .
|Subjects:||H - N > Number theory|
|Research Groups:||Number Theory Group|
|Deposited By:||Roger Heath-Brown|
|Deposited On:||25 Aug 2005|
|Last Modified:||20 Jul 2009 14:19|
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