English

A sum-division estimate of reals

Number Theory 2009-05-16 v2 Combinatorics

Abstract

Let AA be a finite set of positive real numbers. We present a sum-division estimate: |A+A|^2|A/A|\geq\frac{|A|^4}{4}.

Keywords

Cite

@article{arxiv.0905.1991,
  title  = {A sum-division estimate of reals},
  author = {Liangpan Li and Jian Shen},
  journal= {arXiv preprint arXiv:0905.1991},
  year   = {2009}
}
R2 v1 2026-06-21T13:01:32.091Z