{
  "id": "1805.07577",
  "version": "v1",
  "published": "2018-05-19T12:07:01.000Z",
  "updated": "2018-05-19T12:07:01.000Z",
  "title": "On a new approach to the problem of the zero distribution of Hermite-Padé polynomials for a Nikishin system",
  "authors": [
    "Sergey P. Suetin"
  ],
  "comment": "Bibliography: 50 titles",
  "categories": [
    "math.CV"
  ],
  "abstract": "A new approach to the problem of the zero distribution of Hermite-Pad\\'e polynomials of type I for a pair of functions $f_1,f_2$ forming a Nikishin system is discussed. Unlike the traditional vector approach, we give an answer in terms of a scalar equilibrium problem with harmonic external field, which is posed on a two-sheeted Riemann surface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-19T12:07:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30E10",
      "41A21"
    ],
    "keywords": [
      "nikishin system",
      "zero distribution",
      "harmonic external field",
      "traditional vector approach",
      "scalar equilibrium problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}