Sets with large additive energy and symmetric sets

DOI10.1016/j.jcta.2010.11.001zbMath1238.05281arXiv1004.2294OpenAlexW2171903042MaRDI QIDQ2431268

Sergey Yekhanin, Ilya D. Shkredov

Publication date: 11 April 2011

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.2294

zbMATH Keywords

additive combinatoricsadditive energysymmetric sets

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (7)

On certain other sets of integers ⋮ Higher moments of convolutions ⋮ On Isoperimetric Stability ⋮ On subgraphs of random Cayley sum graphs ⋮ Near optimal bounds in Freiman's theorem ⋮ ADDITIVE DIMENSION AND A THEOREM OF SANDERS ⋮ Improved bound in Roth's theorem on arithmetic progressions

Cites Work

• On sets with small doubling property
• On sets of large trigonometric sums
• Examples of sets with large trigonometric sums
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