{
  "id": "1706.08373",
  "version": "v1",
  "published": "2017-06-26T13:53:36.000Z",
  "updated": "2017-06-26T13:53:36.000Z",
  "title": "Determinant structure for tau-function of holonomic deformation of linear differential equations",
  "authors": [
    "Masao Ishikawa",
    "Toshiyuki Mano",
    "Teruhisa Tsuda"
  ],
  "comment": "24 pages",
  "categories": [
    "math.CA",
    "nlin.SI"
  ],
  "abstract": "In our previous works, a relationship between Hermite's two approximation problems and Schlesinger transformations of linear differential equations has been clarified. In this paper, we study tau-functions associated with holonomic deformations of linear differential equations by using Hermite's two approximation problems. As a result, we present a determinant formula for the ratio of tau-functions (tau-quotient).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-26T13:53:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linear differential equations",
      "holonomic deformation",
      "determinant structure",
      "approximation problems",
      "study tau-functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}