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Let $G$ be an abelian group.
On sets of integers which contain no three terms in arithmetical progression
Felix A. Behrend · 1946
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A remark on Stirling’s formula
Herbert Robbins · 1955
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Matrix multiplication via arithmetic progressions
Don Coppersmith and Shmuel Winograd · 1990
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Self-testing/correcting with applications to numerical problems
Manuel Blum, Michael Luby, and Ronitt Rubinfeld · 1993
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Proof verification and the hardness of approximation problems
Sanjeev Arora, Carsten Lund, Rajeev Motwani, Madhu Sudan, and Mario Szegedy · 1998
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Extensions of generalized product caps
Yves Edel · 2004
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Group-theoretic algorithms for matrix multiplication
Henry Cohn, Robert Kleinberg, Balazs Szegedy, and Christopher Umans · 2005
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A Szemerédi-type regularity lemma in abelian groups, with applications
Ben Green · 2005
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An improved construction of progression-free sets
Michael Elkin · 2011
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A new proof of the graph removal lemma
Jacob Fox · 2011
Cited alongside, same era.
A removal lemma for systems of linear equations over finite fields
Daniel Král’, Oriol Serra, and Lluís Vena · 2012
Cited alongside, same era.
On sunflowers and matrix multiplication
Noga Alon, Amir Shpilka, and Christopher Umans · 2013
Cited alongside, same era.
Hu Fu and Robert Kleinberg · 2014
Cited alongside, same era.
Lower bounds for testing triangle freeness in Boolean functions
Arnab Bhattacharya and Ning Xie · 2015
Cited alongside, same era.
A distribution on triples with maximum entropy marginal
Sergey Norin · 2016
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Combinatorial results implied by many zero divisors in a group ring
Fedor Petrov · 2016
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On cap sets and the group-theoretic approach to matrix multiplication
Jonah Blasiak, Thomas Church, Henry Cohn, Joshua A. Grochow, Eric Naslund, William F. Sawin, and Chris Umans · 2017
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Progression-free sets in ℤ 4 n \mathbb{Z}_{4}^{n} are exponentially small
Ernie Croot, Vsevolod Lev, and Peter Pach · 2017
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On large subsets of 𝔽 q n \mathbb{F}_{q}^{n} with no three-term arithmetic progression
Jordan S. Ellenberg and Dion Gijswijt · 2017
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An arithmetic analogue of Fox’s triangle removal argument
Pooya Hatami, Sushant Sachdeva, and Madhur Tulsiani · 2016
Cited alongside, same era.
A tight bound for Green’s arithmetic triangle removal lemma in vector spaces
Jacob Fox and László Miklós Lovász · 2017
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Proof of a conjecture of Kleinberg-Sawin-Speyer
Luke Pebody · 2018
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