A short proof of Erd\H{o}s's $B+C$ conjecture
Dynamical Systems
2026-03-31 v1 Combinatorics
Number Theory
Abstract
We give a short proof of the fact that every set of natural numbers with positive upper Banach density contains the sum of two infinite sets. The approach simplifies earlier existing proofs.
Cite
@article{arxiv.2603.27258,
title = {A short proof of Erd\H{o}s's $B+C$ conjecture},
author = {Bryna Kra and Joel Moreira and Florian K. Richter and Donald Robertson},
journal= {arXiv preprint arXiv:2603.27258},
year = {2026}
}
Comments
8 pages