{
  "id": "1704.01753",
  "version": "v1",
  "published": "2017-04-06T08:55:26.000Z",
  "updated": "2017-04-06T08:55:26.000Z",
  "title": "Integral representation of binary quadratic forms over rational function fields",
  "authors": [
    "Chang Lv"
  ],
  "comment": "14 pages, git commit 20170117/12f7884. arXiv admin note: text overlap with arXiv:1510.04800",
  "categories": [
    "math.NT"
  ],
  "abstract": "For diophantine equations of the form ax^2+bxy+cy^2+g=0 over k[t], the ring of integers of rational funtional fields, we show that a condition with respect to the Artin reciprocity map, which we call the Artin condition, is the only obstruction to the local-global principle for integral solutions of the equation. Some concrete examples are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-06T08:55:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E12",
      "11D57",
      "11R58",
      "14L30",
      "11R37"
    ],
    "keywords": [
      "binary quadratic forms",
      "rational function fields",
      "integral representation",
      "rational funtional fields",
      "artin reciprocity map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}