{
  "id": "0903.4334",
  "version": "v1",
  "published": "2009-03-25T13:40:33.000Z",
  "updated": "2009-03-25T13:40:33.000Z",
  "title": "On the classification of lattices over $\\Q(\\sqrt{-3})$, which are even unimodular $\\Z$-lattices",
  "authors": [
    "Michael Hentschel",
    "Aloys Krieg",
    "Gabriele Nebe"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a classification of the lattices of rank r=4, r=8 and r=12 over \\Q(\\sqrt{-3}), which are even and unimodular \\Z-lattices. Using this classification we construct the associated theta series, which are Hermitian modular forms, and compute the filtration of cusp forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-25T13:40:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classification",
      "unimodular",
      "hermitian modular forms",
      "cusp forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.4334H"
    }
  }
}