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arxiv: 1205.0373 · v3 · pith:C7KV4ACLnew · submitted 2012-05-02 · 🧮 math.NT · math.AG

Quadratic congruences on average and rational points on cubic surfaces

classification 🧮 math.NT math.AG
keywords averagecongruencescubicquadraticapplicationcertainconjectureestablish
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We investigate the average number of solutions of certain quadratic congruences. As an application, we establish Manin's conjecture for a cubic surface whose singularity type is A_5+A_1.

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