published on May 20, 2026
A dichotomy in the tail behaviour of quadratic Weyl sums
By Francesco Cellarosi
Incidences in Cartesian products
Appears in collections : Additive combinatorics in Marseille / Combinatoire additive à Marseille, Exposés de recherche
Various problems in additive combinatorics can be translated to a question about incidences in Cartesian products. A well known example is Elekes' treatment of the sum-product problem but there are many more applications of incidence bounds to arithmetic problems. I will review the classical applications and show some recent results.
