Abstract
It has been close to ten years since the publication of Green's influential survey Finite field models in additive combinatorics, in which the author championed the use of high-dimensional vector spaces over finite fields as a toy model for tackling additive problems concerning the integers. The path laid out by Green has proven to be a very successful one to follow. In the present article we survey the highlights of the past decade and outline the challenges for the years to come.
Original language | English |
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Pages (from-to) | 233-274 |
Number of pages | 42 |
Journal | Finite Fields and Their Applications |
Volume | 32 |
Early online date | 26 Nov 2014 |
DOIs | |
Publication status | Published - 1 Mar 2015 |
Keywords
- Arithmetic combinatorics