Quadratic congruences on average and rational points on cubic surfaces
Volume 171 / 2015
Acta Arithmetica 171 (2015), 145-171
MSC: Primary 11D45; Secondary 14G05, 11G35.
DOI: 10.4064/aa171-2-3
Abstract
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 ${\mathbf A}_5+{\mathbf A}_1$.
