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On the maximal number of 3-term arithmetic progressions in subsets of ℤ/p ℤ

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Publication:5504103
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DOI10.1112/blms/bdn074zbMath1241.11009arXiv0709.4432OpenAlexW3098620043MaRDI QIDQ5504103

Olof Sisask, Ben Green

Publication date: 21 January 2009

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

Full work available at URL: https://arxiv.org/abs/0709.4432



Mathematics Subject Classification ID

Arithmetic progressions (11B25) Arithmetic combinatorics; higher degree uniformity (11B30)


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Upper tails via high moments and entropic stability ⋮ The maximal number of 3-term arithmetic progressions in finite sets in different geometries ⋮ Large values of the additive energy in and ⋮ Maximising the number of solutions to a linear equation in a set of integers




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