On subsets of abelian groups with no 3-term arithmetic progression
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Publication:1088718
DOI10.1016/0097-3165(87)90053-7zbMath0613.10043OpenAlexW2115630228WikidataQ60568638 ScholiaQ60568638MaRDI QIDQ1088718
Ronald L. Graham, Peter Frankl, Vojtěch Rödl
Publication date: 1987
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0097-3165(87)90053-7
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Maximal three-independent subsets of \(\{0,1,2\}^ n\), On subsets of finite Abelian groups with no 3-term arithmetic progressions, Bounds on the size of progression-free sets in \(\mathbb{Z}_m^n\), A lattice point problem and additive number theory, New applications of the polynomial method: The cap set conjecture and beyond, A variant of Kemnitz conjecture, A generalization of Meshulam's theorem on subsets of finite abelian groups with no 3-term arithmetic progression. II, Exponentially larger affine and projective caps, Progression-free sets in finite abelian groups., Progression-free sets in \(\mathbb{Z}_4^n\) are exponentially small, On the complexity of finding and counting solution-free sets of integers, Caps and progression-free sets in \(\mathbb{Z}_m^n\), Two zero-sum invariants on finite abelian groups, Roth-type theorems in finite groups, On the Distribution of Three-Term Arithmetic Progressions in Sparse Subsets of Fpn
Cites Work
- Unnamed Item
- Lines imply spaces in density Ramsey theory
- The asymptotic number of graphs not containing a fixed subgraph and a problem for hypergraphs having no exponent
- An ergodic Szemerédi theorem for IP-systems and combinatorial theory
- A density version of a geometric Ramsey theorem
- Intersection Theorems for Systems of Sets
- On sets of integers containing k elements in arithmetic progression
- On Certain Sets of Integers
- On Sets of Integers Which Contain No Three Terms in Arithmetical Progression
