{
  "id": "0805.1140",
  "version": "v2",
  "published": "2008-05-08T11:17:05.000Z",
  "updated": "2008-05-09T07:56:52.000Z",
  "title": "A Chebyshev criterion for Abelian integrals",
  "authors": [
    "Maite Grau",
    "Francesc Mañosas",
    "Jordi Villadelprat"
  ],
  "comment": "17 pages, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "We present a criterion that provides an easy sufficient condition in order that a collection of Abelian integrals has the Chebyshev property. This condition involves the functions in the integrand of the Abelian integrals and can be checked, in many cases, in a purely algebraic way. By using this criterion, several known results are obtained in a shorter way and some new results, which could not be tackled by the known standard methods, can also be deduced.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-05-09T07:56:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C08",
      "41A50",
      "34C23"
    ],
    "keywords": [
      "abelian integrals",
      "chebyshev criterion",
      "standard methods",
      "sufficient condition",
      "purely algebraic way"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.1140G"
    }
  }
}