Sums and differences of finite sets

Katalin Gyarmati, Francois Hennecart, I. Ruzsa

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In a given abelian group, let A and B be two flnite subsets satisfying the small sumset condition A + B ≤ KA. We consider the problem of estimating how large A-B can be in terms of A and K and the one of estimating the ratio X-B/X when X runs over all the non-empty subsets of A.

Original languageEnglish
Pages (from-to)175-186
Number of pages12
JournalFunctiones et Approximatio, Commentarii Mathematici
Volume37
Issue number1
Publication statusPublished - 2007

Keywords

  • Difierence set
  • Plünnecke inequality
  • Sumset

ASJC Scopus subject areas

  • Mathematics(all)

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