{
  "id": "math/0606653",
  "version": "v1",
  "published": "2006-06-26T16:50:44.000Z",
  "updated": "2006-06-26T16:50:44.000Z",
  "title": "Interpolation of hypergeometric ratios in a global field of positive characteristic",
  "authors": [
    "Greg W. Anderson"
  ],
  "comment": "25 pages, LaTeX",
  "categories": [
    "math.NT"
  ],
  "abstract": "In connection with each global field of positive characteristic we exhibit many examples of two-variable algebraic functions possessing properties consistent with a conjectural refinement of the Stark conjecture in the function field case recently proposed by the author (math.NT/0407535). Most notably, all examples are Coleman units. We obtain our results by studying rank one shtukas in which both zero and pole are generic, i.~e., shtukas not associated to any Drinfeld module.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-06-26T16:50:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R37",
      "11T99"
    ],
    "keywords": [
      "global field",
      "positive characteristic",
      "hypergeometric ratios",
      "algebraic functions possessing properties consistent",
      "interpolation"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6653A"
    }
  }
}