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On the saturation number for singular cubic surfaces

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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.

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Acknowledgements

The authors are grateful to the referees for carefully reviewing the paper and various helpful suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Yuchao Wang & Weili Yao

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  1. Yuchao Wang
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  2. Weili Yao
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Correspondence to Yuchao Wang.

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On the 50th anniversary of Chen’s theorem

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Wang, Y., Yao, W. On the saturation number for singular cubic surfaces. Sci. China Math. 66, 2803–2818 (2023). https://doi.org/10.1007/s11425-023-2227-9

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