Additive structure in convex sets
Combinatorics
2025-09-03 v1 Number Theory
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 containing three-term arithmetic progressions.
Cite
@article{arxiv.2509.01568,
title = {Additive structure in convex sets},
author = {Thomas F. Bloom and Jakob Führer and Oliver Roche-Newton},
journal= {arXiv preprint arXiv:2509.01568},
year = {2025}
}