{
  "id": "0808.3615",
  "version": "v1",
  "published": "2008-08-27T01:40:07.000Z",
  "updated": "2008-08-27T01:40:07.000Z",
  "title": "The action of Hecke operators on hypergeometric functions",
  "authors": [
    "Victor H. Moll",
    "Sinai Robins",
    "K. Soodhalter"
  ],
  "categories": [
    "math.NT",
    "math.CA"
  ],
  "abstract": "We study the action of Hecke operators on the set of hypergeometric functions. We show that the spectrum of these operators is the set of powers n^a and that polylogarithms play a dominant role in the study of the corresponding eigenfunctions. As a corollary, we obtain a characterization of completely multiplicative hypergeometric coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-08-27T01:40:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F25",
      "33C05"
    ],
    "keywords": [
      "hecke operators",
      "hypergeometric functions",
      "multiplicative hypergeometric coefficients",
      "dominant role",
      "polylogarithms play"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.3615M"
    }
  }
}