A proof of Erd\H{o}s's $B+B+t$ conjecture
Dynamical Systems
2023-11-07 v2 Combinatorics
Number Theory
Abstract
We show that every set of natural numbers with positive upper density can be shifted to contain the restricted sumset for some infinite set .
Cite
@article{arxiv.2206.12377,
title = {A proof of Erd\H{o}s's $B+B+t$ conjecture},
author = {Bryna Kra and Joel Moreira and Florian K. Richter and Donald Robertson},
journal= {arXiv preprint arXiv:2206.12377},
year = {2023}
}
Comments
14 pages. Changes after referee comments, improved exposition