English

On the saturation number for cubic surfaces

Number Theory 2015-07-13 v2 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1408.0402,
  title  = {On the saturation number for cubic surfaces},
  author = {Yuchao Wang},
  journal= {arXiv preprint arXiv:1408.0402},
  year   = {2015}
}

Comments

20 pages, substantial overlaps with arXiv:1406.6963

R2 v1 2026-06-22T05:19:05.264Z