BIRS Workshop Lecture Videos
On iterated products sets with shifts and a partial inverse for the Szemeredi-Trotter Theorem Roche-Newton, Oliver
Adapting the framework of Bourgain-Chang, we (in a joint work with Brandon Hanson and Dmitry Zhelezov) present a new sum-product type estimate over the rationals which exhibits unbounded growth. As an application, it follows that if a point set is a direct product AxA for a set of rationals A, and A has a small product set, then we get a better incidence bound for such a point set than the one given by the Szemeredi-Trotter.
Item Citations and Data
Attribution-NonCommercial-NoDerivatives 4.0 International