Sum-product phenomena in F_p: a brief introduction

These notes arose from my Cambridge Part III course on Additive Combinatorics, given in Lent Term 2009. The aim was to understand the simplest proof of the Bourgain-Glibichuk-Konyagin bounds for exponential sums over subgroups. As a byproduct one obtains a clean proof of the Bourgain-Katz-Tao theore...

Full description

Bibliographic Details
Main Author: Green, B
Format: Journal article
Published: 2009