The density of rational points on Cayley's cubic surface

2002/10/21 by D. R. Heath-Brown, Heath-Brown, D. R.
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.math/0210333

29 pages

arxiv created 2002/10/21 · arxiv updated 2009/11/30

Abstract

The Cayley cubic surface is given by the equation sum_i=1⁴ X_i^-1=0. We show that the number of non-trivial primitive integer points of size at most B is of exact order B(log B)⁶, as predicted by Manin's conjecture.

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