Sets Avoiding Six-Term Arithmetic Progressions in $\mathbb{Z}_6^{n}$ are Exponentially Small
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Publication:5074952
DOI10.1137/21M1413766zbMath1495.11020arXiv2009.11897OpenAlexW3088787028MaRDI QIDQ5074952
Richárd Palincza, Péter Pál Pach
Publication date: 10 May 2022
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.11897
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Cites Work
- Progression-free sets in \(\mathbb{Z}_4^n\) are exponentially small
- On large subsets of \(\mathbb{F}_q^n\) with no three-term arithmetic progression
- Extensions of generalized product caps
- A tight bound for Green's arithmetic triangle removal lemma in vector spaces
- Caps and progression-free sets in \(\mathbb{Z}_m^n\)
- Improved bounds for progression-free sets in \(C_8^n\)
- On cap sets and the group-theoretic approach to matrix multiplication
- On sets of integers which contain no three terms in geometric progression
- Four‐term progression free sets with three‐term progressions in all large subsets
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