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arxiv: 1408.0402 · v2 · pith:ZTYA76KDnew · submitted 2014-08-02 · 🧮 math.NT · math.AG

On the saturation number for cubic surfaces

classification 🧮 math.NT math.AG
keywords cubicsurfacecayleycirclecoordinatesdensityfactorsfermat
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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.

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