Bounds on the size of progression-free sets in \(\mathbb{Z}_m^n\)
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Publication:2146238
DOI10.2478/udt-2022-0005OpenAlexW4281839023MaRDI QIDQ2146238
Publication date: 16 June 2022
Published in: Uniform Distribution Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/udt-2022-0005
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
- Roth's theorem in \(\mathbb Z^n_4\)
- Maximal caps in \(\mathrm{AG}(6,3)\).
- On subsets of abelian groups with no 3-term arithmetic progression
- A density version of a geometric Ramsey theorem
- Progression-free sets in finite abelian groups.
- Extensions of generalized product caps
- The classification of the largest caps in AG(5, 3)
- On subsets of finite Abelian groups with no 3-term arithmetic progressions
- Caps and progression-free sets in \(\mathbb{Z}_m^n\)
- Improved bounds for progression-free sets in \(C_8^n\)
- New bounds on cap sets
- On cap sets and the group-theoretic approach to matrix multiplication
- Sets Avoiding Six-Term Arithmetic Progressions in $\mathbb{Z}_6^{n}$ are Exponentially Small
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