The maximal number of 3-term arithmetic progressions in finite sets in different geometries

DOI10.1007/s00454-021-00365-6OpenAlexW3098783452WikidataQ114229307 ScholiaQ114229307MaRDI QIDQ2690128

Itai Benjamini, Shoni Gilboa

Publication date: 15 March 2023

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.04410

zbMATH Keywords

metric spacesarithmetic progressionsCartan-Hadamard manifolds

Mathematics Subject Classification ID

Metric geometry (51F99) Arithmetic progressions (11B25) Arithmetic combinatorics; higher degree uniformity (11B30)

Cites Work

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• Manifolds of nonpositive curvature
• Distribution of distances and triangles in a point set and algorithms for computing the largest common point sets
• The Cartan-Hadamard conjecture and the little prince
• On Sets of Acquaintances and Strangers at any Party
• The isoperimetric inequality
• Upper Tail Large Deviations for Arithmetic Progressions in a Random Set
• Maximising the number of solutions to a linear equation in a set of integers
• On the maximal number of 3-term arithmetic progressions in subsets of ℤ/p ℤ

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