Three-term arithmetic progressions and sumsets

DOI10.1017/S0013091506001398zbMath1221.11029arXivmath/0611304MaRDI QIDQ3612058

Tom Sanders

Publication date: 3 March 2009

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

Full work available at URL: https://arxiv.org/abs/math/0611304

zbMATH Keywords

Fourier transformsumsetarithmetic progressions

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Arithmetic progressions (11B25) Harmonic analysis and almost periodicity in probabilistic number theory (11K70) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

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A probabilistic technique for finding almost-periods of convolutions ⋮ Four‐term progression free sets with three‐term progressions in all large subsets ⋮ Sublinear Bounds for a Quantitative Doignon--Bell--Scarf Theorem ⋮ ARITHMETIC PROGRESSIONS IN SETS OF SMALL DOUBLING

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