Abstract
We show that if contains no three-term arithmetic progressions in which all the elements are distinct then .
Citation
Tom Sanders. "Roth's theorem in $\mathbb{Z}_4^n$." Anal. PDE 2 (2) 211 - 234, 2009. https://doi.org/10.2140/apde.2009.2.211
Information
Received: 14 November 2008; Revised: 30 March 2009; Accepted: 4 May 2009; Published: 2009
First available in Project Euclid: 20 December 2017
zbMATH: 1197.11017
MathSciNet: MR2560257
Digital Object Identifier: 10.2140/apde.2009.2.211
Subjects:
Primary:
42A05
Keywords:
$\mathbb Z_4^n$
,
Balog–Szemerédi
,
cap set problem
,
characteristic 2
,
Fourier
,
Freĭman
,
Roth–Meshulam
,
three-term arithmetic progressions
Rights: Copyright © 2009 Mathematical Sciences Publishers
