{
  "id": "math/0507259",
  "version": "v1",
  "published": "2005-07-13T07:29:32.000Z",
  "updated": "2005-07-13T07:29:32.000Z",
  "title": "Asymptotic formula for sum-free sets in abelian groups",
  "authors": [
    "R. Balasubramanian",
    "Gyan Prakash"
  ],
  "comment": "9 pages, no figures",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let A be a subset of a finite abelian group G. We say that A is sum-free if there is no solution of the equation x + y = z, with x, y, z belonging to the set A. Let SF(G) denotes the set of all sum-free subets of $G$ and $\\sigma(G)$ denotes the number $ n^{-1}(\\log_2 |SF(G)|) $. In this article we shall improve the error term in the asymptotic formula of $\\sigma(G)$ which was obtained recently by Ben Green and Ruzsa. The methods used are a slight refinement of methods developed by Ben Green and Ruzsa.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-07-13T07:29:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P70"
    ],
    "keywords": [
      "asymptotic formula",
      "sum-free sets",
      "ben green",
      "finite abelian group",
      "slight refinement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......7259B"
    }
  }
}