{
  "id": "0806.2908",
  "version": "v1",
  "published": "2008-06-18T07:09:19.000Z",
  "updated": "2008-06-18T07:09:19.000Z",
  "title": "Lower order terms for the one-level densities of symmetric power $L$-functions in the level aspect",
  "authors": [
    "Guillaume Ricotta",
    "Emmanuel Royer"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In a previous paper, the authors determined, among other things, the main terms for the one-level densities for low-lying zeros of symmetric power L-functions in the level aspect. In this paper, the lower order terms of these one-level densities are found. The combinatorial difficulties, which should arise in such context, are drastically reduced thanks to Chebyshev polynomials, which are the characters of the irreducible representations of SU(2). %",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-18T07:09:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41"
    ],
    "keywords": [
      "lower order terms",
      "one-level densities",
      "level aspect",
      "symmetric power l-functions",
      "chebyshev polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.2908R"
    }
  }
}