{
  "id": "math/0301241",
  "version": "v1",
  "published": "2003-01-21T23:05:28.000Z",
  "updated": "2003-01-21T23:05:28.000Z",
  "title": "Symmetrized Chebyshev Polynomials",
  "authors": [
    "Igor Rivin"
  ],
  "comment": "Enhancement of math.CA/0301210",
  "categories": [
    "math.CA",
    "math.PR"
  ],
  "abstract": "We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials, and prove the simple but somewhat surprising (in view of the fact that the signs of the coefficients of the Chebyshev polynomials themselves alternate) result that their coefficients are non-negative. We further show that a Central Limit Theorem holds for our polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-21T23:05:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A63",
      "42C05",
      "05C25",
      "05C20",
      "60F05"
    ],
    "keywords": [
      "symmetrized chebyshev polynomials",
      "central limit theorem holds",
      "multivariate laurent polynomials",
      "coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1241R"
    }
  }
}