A NOTE ON THE FREIMAN AND BALOG–SZEMERÉDI–GOWERS THEOREMS IN FINITE FIELDS

DOI10.1017/S1446788708000359zbMath1232.11014arXivmath/0701585OpenAlexW2106474499MaRDI QIDQ3624625

Ben Green, Terence C. Tao

Publication date: 30 April 2009

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701585

zbMATH Keywords

Freiman's theoremBalog-Szemerédi-Gowers theoremfinite field models

Mathematics Subject Classification ID

Inverse problems of additive number theory, including sumsets (11P70) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (6)

Equivalence of polynomial conjectures in additive combinatorics ⋮ Chowla's cosine problem ⋮ Sets in \(\mathbb{Z}^k\) with doubling \(2^k + \delta\) are near convex progressions ⋮ A quantitative version of the non-Abelian idempotent theorem ⋮ On sets with small doubling property ⋮ The structure theory of set addition revisited

Cites Work

• A new proof of Szemerédi's theorem for arithmetic progressions of length four
• A statistical theorem of set addition
• Boolean functions with small spectral norm
• A Note on Freĭman's Theorem in Vector Spaces
• AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM
• A new proof of Szemerédi's theorem

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