{
  "id": "0909.1184",
  "version": "v1",
  "published": "2009-09-07T09:27:36.000Z",
  "updated": "2009-09-07T09:27:36.000Z",
  "title": "On theta series attached to maximal lattices and their adjoints",
  "authors": [
    "Siegfried Boecherer",
    "Gabriele Nebe"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "The space spanned by theta series of adjoints of maximal even lattices of exact level $N$ and determinant $N^2$ has the Weierstrass property and hence allows to define extremality for arbitrary squarefree level $N$. We find examples of such dual extremal lattices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-07T09:27:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F11",
      "11F33",
      "11H31"
    ],
    "keywords": [
      "theta series",
      "maximal lattices",
      "dual extremal lattices",
      "arbitrary squarefree level",
      "exact level"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.1184B"
    }
  }
}