{
  "id": "0903.3856",
  "version": "v1",
  "published": "2009-03-23T12:58:58.000Z",
  "updated": "2009-03-23T12:58:58.000Z",
  "title": "Arithmetic progressions of four squares over quadratic fields",
  "authors": [
    "Enrique Gonzalez-Jimenez",
    "Jorn Steuding"
  ],
  "journal": "Publicationes Mathematicae Debrecen 77/ 1-2 (2010), 125-138",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let d be a squarefree integer. Does there exist four squares in arithmetic progression over Q(sqrt{d})? We shall give a partial answer to this question, depending on the value of d. In the affirmative case, we construct explicit arithmetic progressions consisting of four squares over Q(sqrt{d}).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-23T12:58:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quadratic fields",
      "construct explicit arithmetic progressions consisting",
      "squarefree integer",
      "partial answer",
      "affirmative case"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.3856G"
    }
  }
}