The density of rational points on non-singular hypersurfaces, II
T. D. Browning, D. R. Heath-Brown
Abstract
This paper establishes the conjecture that a non-singular projective hypersurface of dimension r, which is not equal to a linear space, contains O(Br+ε) rational points of height at most B, for any choice of ε>0. The implied constant in this estimate depends at most upon ε, r and the degree of the hypersurface.
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