English

On the saturation number for singular cubic surfaces

Number Theory 2023-10-31 v1

Abstract

We investigate the distribution of rational points on singular cubic surfaces, whose coordinates have few prime factors. The key tools used are universal torsors, the circle method and results on linear equations in primes.

Keywords

Cite

@article{arxiv.2310.14327,
  title  = {On the saturation number for singular cubic surfaces},
  author = {Yuchao Wang and Weili Yao},
  journal= {arXiv preprint arXiv:2310.14327},
  year   = {2023}
}

Comments

19 pages. It has been accepted for publication in SCIENCE CHINA Mathematics

R2 v1 2026-06-28T12:58:06.164Z