{
  "id": "1010.4519",
  "version": "v1",
  "published": "2010-10-21T16:38:25.000Z",
  "updated": "2010-10-21T16:38:25.000Z",
  "title": "Linear equations over multiplicative groups, recurrences, and mixing I",
  "authors": [
    "Harm Derksen",
    "David Masser"
  ],
  "doi": "10.1112/plms/pdr040",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let K be a field of positive characteristic. When V is a linear variety in K^n and G is a finitely generated subgroup of K^*, we show how to compute the intersection of V and G^n effectively using heights. We calculate all the estimates explicitly. A special case provides the effective solution of the S-unit equation in n variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-21T16:38:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D04",
      "11D72",
      "11G35",
      "11G50",
      "14G25"
    ],
    "keywords": [
      "linear equations",
      "multiplicative groups",
      "recurrences",
      "linear variety",
      "special case"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.4519D"
    }
  }
}