{
  "id": "1111.1132",
  "version": "v1",
  "published": "2011-11-04T14:09:19.000Z",
  "updated": "2011-11-04T14:09:19.000Z",
  "title": "Kronecker limit formulas and scattering constants for Fermat curves",
  "authors": [
    "Anna Posingies"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Eisenstein series are real analytic functions which play a central role in spectral theory of the hyperbolic Laplacian. Kronecker limit formulas determine their connection to modular forms. The main result of this work is Theorem 7.2 in which a Kronecker limit formula for a family of non-congruence subgroups associated with the Fermat curves is presented. As an application we can determine the scattering constants for the Fermat curves in Theorem 8.1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-04T14:09:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M36",
      "11F30",
      "30F35"
    ],
    "keywords": [
      "fermat curves",
      "scattering constants",
      "kronecker limit formulas determine",
      "real analytic functions",
      "hyperbolic laplacian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.1132P"
    }
  }
}