{
  "id": "math/0603714",
  "version": "v1",
  "published": "2006-03-30T16:48:46.000Z",
  "updated": "2006-03-30T16:48:46.000Z",
  "title": "Borcherds Forms and Generalizations of Singular Moduli",
  "authors": [
    "Jarad Schofer"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a factorization of averages of Borcherds forms over CM points associated to a quadratic form of signature (n,2). As a consequence of this result, we are able to state a theorem like that of Gross and Zagier about which primes can occur in this factorization. One remarkable phenomenon we observe is that the regularized theta lift of a weakly holomorphic modular form is always finite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-30T16:48:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F12"
    ],
    "keywords": [
      "borcherds forms",
      "singular moduli",
      "generalizations",
      "weakly holomorphic modular form",
      "regularized theta lift"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3714S"
    }
  }
}