A Second Wave of Expanders over Finite Fields

Brendan Murphy, Giorgis Petridis

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

6 Citations (Scopus)


This is an expository survey on recent sum-product results in finite fields. We present a number of sum-product or "expander" results that say that if $|A| > p^{2/3}$ then some set determined by sums and product of elements of $A$ is nearly as large as possible, and if $|A|
Original languageEnglish
Title of host publicationCombinatorial and Additive Number Theory II
Subtitle of host publicationCANT, New York, NY, USA, 2015 and 2016
PublisherSpringer International Publishing AG
ISBN (Electronic)9783319680323
ISBN (Print)9783319680309
Publication statusPublished - 14 Jan 2018

Publication series

NameSpringer Proceedings in Mathematics and Statistics
ISSN (Print)2194-1009

Bibliographical note

CANT (Combinatorial and Additive Number Theory) 2016


  • math.CO
  • 05D99, 05B10, 11B30

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