On the saturation number for cubic surfaces
arXiv:1408.0402 · doi:10.1016/j.jnt.2015.03.014
Abstract
We investigate the density of rational points on the Fermat cubic surface and the Cayley cubic surface whose coordinates have few prime factors. The key tools used are the weighted sieve, the circle method and universal torsors.
20 pages, substantial overlaps with arXiv:1406.6963