On linear combinatorics. II: Structure theorems via additive number theory

DOI10.1007/PL00009806zbMath0923.11029OpenAlexW2058740190MaRDI QIDQ1288893

György Elekes

Publication date: 18 May 1999

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00009806

zbMATH Keywords

generalized arithmetic progressioncomposition setsgeneralized geometric progressionreal Euclidean line

Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10) Arithmetic progressions (11B25)

Related Items (8)

Product set estimates for non-commutative groups ⋮ The structure of sets with few sums along a graph ⋮ Non-commutative methods in additive combinatorics and number theory ⋮ On the growth rate in SL2(Fp)${\rm SL_2}(\mathbb {F}_p)$, the affine group and sum‐product type implications ⋮ A structural Szemerédi-Trotter theorem for Cartesian products ⋮ Modular hyperbolas and bilinear forms of Kloosterman sums ⋮ Constructions of optimal packing and covering of the complete multigraph with applications ⋮ On the combinatorics of projective mappings

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