Le Boudec, Pierre2014-12-302014-12-302014-12-30201410.2140/ant.2014.8.1259https://infoscience.epfl.ch/handle/20.500.14299/109543WOS:000344649600009We 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.affine congruencesrational pointsManin's conjecturecubic surfacesuniversal torsorsAffine congruences and rational points on a certain cubic surfacetext::journal::journal article::research article