Finite field models in arithmetic combinatorics – ten years on

Julia Wolf

doi:10.1016/j.ffa.2014.11.003

Finite field models in arithmetic combinatorics – ten years on

Julia Wolf

School of Mathematics

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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
Pages (from-to)	233-274
Number of pages	42
Journal	Finite Fields and their Applications
Volume	32
Early online date	26 Nov 2014
DOIs	https://doi.org/10.1016/j.ffa.2014.11.003
Publication status	Published - 1 Mar 2015

Keywords

Arithmetic combinatorics

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10.1016/j.ffa.2014.11.003

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AB - 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.

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JO - Finite Fields and their Applications

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Finite field models in arithmetic combinatorics – ten years on

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