{
  "id": "2005.02203",
  "version": "v1",
  "published": "2020-05-05T14:09:17.000Z",
  "updated": "2020-05-05T14:09:17.000Z",
  "title": "Multidimensional matrix inversions and elliptic hypergeometric series on root systems",
  "authors": [
    "Hjalmar Rosengren",
    "Michael J. Schlosser"
  ],
  "comment": "25 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "Multidimensional matrix inversions is a powerful tool for studying multiple hypergeometric series. In order to extend this technique to elliptic hypergeometric series, we present three new multidimensional matrix inversions. As applications, we obtain a new $A_r$ elliptic Jackson summation, as well as several quadratic, cubic and quartic summation formulas.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-05T14:09:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D67"
    ],
    "keywords": [
      "multidimensional matrix inversions",
      "elliptic hypergeometric series",
      "root systems",
      "quartic summation formulas",
      "elliptic jackson summation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}