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Ellenberg and Gijswijt gave the best known asymptotic upper bound for the cardinality of subsets of $\mathbb F_q^n$ without 3-term arithmetic progressions.
Tom C. Brown, Joe P. Buhler, A density version of a geometric Ramsey theorem
1982
Earlier work this paper cites.
Roy Meshulam, On subsets of finite abelian groups with no 3-term arithmetic progressions
1995
Earlier work this paper cites.
Harm Derksen, The G-stable rank for tensors
2002
Earlier work this paper cites.
Yves Edel, Extensions of generalized product caps
2004
Cited alongside, same era.
Michael Bateman, Nets H. Katz, New bounds on cap sets
2012
Cited alongside, same era.
Terence Tao, A symmetric formulation of the Croot–Lev–Pach–Ellenberg–Gijswijt capset bound (2016)
2016
Cited alongside, same era.
Fred Tyrrell, New lower bounds for cap sets
Cited in the paper.
Ernie Croot, Vsevolod Lev, Peter Pach, Progression-free sets in ℤ / 4 ℤ \mathbb{Z}/4\mathbb{Z} are exponentially small
2017
Later among the works it cites.
Jordan S. Ellenberg, Dion Gijswijt, On large subsets of 𝔽 q n \mathbb{F}^{n}_{q} with no three-term arithmetic progression
2017
Later among the works it cites.
Robert Kleinberg, Will Sawin, David E. Speyer, The growth of tri-colored sum-free sets
2018
Later among the works it cites.
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