Affine congruences and rational points on a certain cubic surface
  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 and whose singularity type is D_4. This improves on a result of Browning and answers a problem posed by Tschinkel. 
Pierre Le Boudec
math.NT math.AG