Progress on Local Properties Problems of Difference Sets
Combinatorics
2022-08-24 v2
Abstract
We derive several new bounds for the problem of difference sets with local properties, such as establishing the super-linear threshold of the problem. For our proofs, we develop several new tools, including a variant of higher moment energies and a Ramsey-theoretic approach for the problem.
Cite
@article{arxiv.2201.00547,
title = {Progress on Local Properties Problems of Difference Sets},
author = {Anqi Li},
journal= {arXiv preprint arXiv:2201.00547},
year = {2022}
}
Comments
15 pages, 2 figures