Sum-product phenomena in F_p: a brief introduction

Simple item page
dc.creatorGreen, Ben
dc.date2009-04-14
dc.date.accessioned2026-07-07T13:03:42Z
dc.date.available2026-07-07T13:03:42Z
dc.descriptionThese 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 theorem on the sum-product phenomenon in F_p. The arguments are essentially extracted from a paper of Bourgain, and I benefitted very much from being in receipt of unpublished course notes of Elon Lindenstrauss. No originality is claimed.
dc.description10 pages, not for publication
dc.identifierhttps://arxiv.org/abs/0904.2075
dc.identifierhttp://arxiv.org/abs/0904.2075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226898
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.titleSum-product phenomena in F_p: a brief introduction
dc.typetext

Files

Collections

arXiv