{
  "id": "math/0410333",
  "version": "v2",
  "published": "2004-10-14T14:04:19.000Z",
  "updated": "2004-10-27T20:23:07.000Z",
  "title": "Holomorphic Eisenstein series with Jacobian twists",
  "authors": [
    "Lev A. Borisov"
  ],
  "comment": "19 pages, 1 figure",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "For every point on the Jacobian of the modular curve $X_0(l)$ we define and study certain twisted holomorphic Eisenstein series. These are particular cases of a more general notion of twisted modular forms which correspond to sections on the modular curve $X_1(l)$ of the degree zero twists of line bundles of usual modular forms. We conjecture that a point on the Jacobian is rational if and only if the ratios of these twisted Eisenstein series of the same weights have rational coefficients.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-10-27T20:23:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F11"
    ],
    "keywords": [
      "jacobian twists",
      "modular curve",
      "usual modular forms",
      "twisted holomorphic eisenstein series",
      "degree zero twists"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....10333B"
    }
  }
}