{
  "id": "math/0301210",
  "version": "v1",
  "published": "2003-01-20T03:43:32.000Z",
  "updated": "2003-01-20T03:43:32.000Z",
  "title": "An inequality on Chebyshev polynomials",
  "authors": [
    "Igor Rivin"
  ],
  "categories": [
    "math.CA",
    "math.CO"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-20T03:43:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A63",
      "42C05"
    ],
    "keywords": [
      "chebyshev polynomials",
      "inequality",
      "multivariate laurent polynomials",
      "coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1210R"
    }
  }
}