{
  "id": "1112.5378",
  "version": "v1",
  "published": "2011-12-22T16:57:55.000Z",
  "updated": "2011-12-22T16:57:55.000Z",
  "title": "Explicit formulas for Drinfeld modules and their periods",
  "authors": [
    "Ahmad El-Guindy",
    "Matthew A. Papanikolas"
  ],
  "comment": "20 pages",
  "journal": "Journal of Number Theory 133 (2013), pp. 1864-1886",
  "doi": "10.1016/j.jnt.2012.10.013",
  "categories": [
    "math.NT"
  ],
  "abstract": "We provide explicit series expansions for the exponential and logarithm functions attached to a rank r Drinfeld module that generalize well known formulas for the Carlitz exponential and logarithm. Using these results we obtain a procedure and an analytic expression for computing the periods of rank 2 Drinfeld modules and also a criterion for supersingularity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-22T16:57:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G09",
      "11F52",
      "11R58"
    ],
    "keywords": [
      "drinfeld module",
      "explicit formulas",
      "explicit series expansions",
      "logarithm functions",
      "analytic expression"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.5378E"
    }
  }
}