{
  "id": "math/0503082",
  "version": "v1",
  "published": "2005-03-05T00:12:29.000Z",
  "updated": "2005-03-05T00:12:29.000Z",
  "title": "Remarks Towards the Classification of $RS_4^2(3)$-Transformations and Algebraic Solutions of the Sixth Painlevé Equation",
  "authors": [
    "A. V. Kitaev"
  ],
  "comment": "22 pages, submitted for Proceedings of Angers Conference \"Asymptotic Theories and Painleve' Equations\" (June 01-05, 2004)",
  "categories": [
    "math.CA"
  ],
  "abstract": "We introduce a notion of the divisor type for rational functions and show that it can be effectively used for the classification of the deformations of dessins d'enfants related with the construction of the algebraic solutions of the sixth Painlev\\'e equation via the method of $RS$-transformations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-05T00:12:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34M55",
      "33E17",
      "33E30"
    ],
    "keywords": [
      "algebraic solutions",
      "transformations",
      "classification",
      "sixth painleve equation",
      "rational functions"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3082K"
    }
  }
}