Heath-Brown, D. R. and Browning, T. D. (2005) *Counting rational points on hypersurfaces.* J. Reine Angew. Math., 584 . pp. 83-115.

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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 |
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Subjects: | H - N > Number theory |

Research Groups: | Number Theory Group |

ID Code: | 186 |

Deposited By: | Roger Heath-Brown |

Deposited On: | 25 Aug 2005 |

Last Modified: | 20 Jul 2009 14:19 |

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