Additive Structure in Convex Sets

COMBINATORICA 2026 Open access

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Authors: Thomas F. Bloom, Jakob Führer, Oliver Roche‐Newton
DOI: 10.1007/s00493-026-00200-7
Cited by: 0
References: 14

Abstract

Abstract This paper considers some different measures for how additively structured a convex set can be. The main result gives a construction of a convex set A containing $$\Omega (|A|^{3/2})$$ Ω ( | A | 3 / 2 ) three-term arithmetic progressions.

Fields of Study & Subjects

Limits and Structures in Graph Theory Analytic Number Theory Research Advanced Combinatorial Mathematics

Publication details

Journal / source
COMBINATORICA
Volume
46
Issue
1
Publication date
28 January 2026
Language
EN