The density of rational points on Cayley's cubic surface

Details The density of rational points on Cayley's cubic surface The density of rational points on Cayley's cubic surface

2002-10-21

arxiv.org/abs/math/0210333v1

Mathematics

Number Theory

29 pages

Scientific paper

The Cayley cubic surface is given by the equation sum_{i=1}^4 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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