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Affine congruences and rational points on a certain cubic surface

Le Boudec, Pierre  
2014
Algebra & Number Theory

We establish estimates for the number of solutions of certain affine congruences. These estimates are then used to prove Manin's conjecture for a cubic surface split over Q whose singularity type is D-4. This improves on a result of Browning and answers a problem posed by Tschinkel.

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