{
  "id": "1405.2293",
  "version": "v2",
  "published": "2014-05-09T17:19:09.000Z",
  "updated": "2015-01-17T19:25:53.000Z",
  "title": "A study in sums of products",
  "authors": [
    "É. Fouvry",
    "E. Kowalski",
    "Ph. Michel"
  ],
  "comment": "v2; 41 pages; minor corrections",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a general version of cancellation in exponential sums that arise as sums of products of trace functions satisfying a suitable independence condition related to the Goursat-Kolchin-Ribet criterion, in a form that is easily applicable in analytic number theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-09T17:19:09.000Z",
      "comment": "40 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-01-17T19:25:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11T23",
      "14F20"
    ],
    "keywords": [
      "analytic number theory",
      "general version",
      "goursat-kolchin-ribet criterion",
      "exponential sums",
      "trace functions satisfying"
    ],
    "publication": {
      "doi": "10.1098/rsta.2014.0309",
      "journal": "Philosophical Transactions of the Royal Society of London Series A",
      "year": 2015,
      "month": "Mar",
      "volume": 373,
      "number": 2040,
      "pages": 20140309
    },
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015RSPTA.37340309F"
    }
  }
}