On the saturation number for singular cubic surfaces

被引：1

作者：

Wang, Yuchao ^{[1
]}

Yao, Weili ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2023年 / 66卷 / 12期

关键词：

circle method; universal torsors; cubic surfaces; prime; WARING-GOLDBACH PROBLEM; RATIONAL-POINTS; DIOPHANTINE EQUATIONS; MANINS CONJECTURE; CONGRUENCES; DENSITY; SUM; 4TH;

D O I：

10.1007/s11425-023-2227-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2803 / 2818

页数：16