A bilinear Bogolyubov theorem

DOI10.1016/j.ejc.2018.11.003zbMath1442.11020arXiv1711.05349OpenAlexW2963237084MaRDI QIDQ1715629

Thái Hoàng Lê, Pierre-Yves Bienvenu

Publication date: 29 January 2019

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.05349

zbMATH Keywords

Fourier analysissumsetsBogolyubov-Ruzsa lemma

Mathematics Subject Classification ID

Additive bases, including sumsets (11B13) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (4)

A bilinear version of Bogolyubov’s theorem ⋮ A note on the bilinear Bogolyubov theorem: Transverse and bilinear sets ⋮ LINEAR AND QUADRATIC UNIFORMITY OF THE MÖBIUS FUNCTION OVER ⋮ A note on extensions of multilinear maps defined on multilinear varieties

Cites Work

• Large independent sets in shift-invariant graphs
• On the Bogolyubov-Ruzsa lemma
• Finite field models in arithmetic combinatorics -- ten years on
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