Article ID Journal Published Year Pages File Type
4595631 Journal of Number Theory 2006 42 Pages PDF
Abstract

We show that the number of nontrivial rational points of height at most B, which lie on the cubic surface x1x2x3=x42(x1+x2+x3), has order of magnitude B6(logB). This agrees with Manin's conjecture.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory