English

Multi-fold sums from a set with few products

Combinatorics 2011-07-01 v1

Abstract

In this paper we show that for any k2k\geq2, there exist two universal constants Ck,Dk>0C_k,D_k>0, such that for any finite subset AA of positive real numbers with AAMA|AA|\leq M|A|, kACkMDkAlog42k.|kA|\geq \frac{C_k}{M^{D_k}}\cdot|A|^{\log_42k}.

Keywords

Cite

@article{arxiv.1106.6074,
  title  = {Multi-fold sums from a set with few products},
  author = {Liangpan Li},
  journal= {arXiv preprint arXiv:1106.6074},
  year   = {2011}
}
R2 v1 2026-06-21T18:29:28.650Z