HeathBrown, D. R. and Browning, T. D. (2005) Counting rational points on hypersurfaces. J. Reine Angew. Math., 584 . pp. 83115.

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Abstract
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 .
Item Type:  Article 

Subjects:  H  N > Number theory 
Research Groups:  Number Theory Group 
ID Code:  186 
Deposited By:  Roger HeathBrown 
Deposited On:  25 Aug 2005 
Last Modified:  29 May 2015 18:17 
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