{
  "id": "1805.08996",
  "version": "v1",
  "published": "2018-05-23T08:00:53.000Z",
  "updated": "2018-05-23T08:00:53.000Z",
  "title": "Reflective automorphic forms on lattices of squarefree level",
  "authors": [
    "Moritz Dittmann"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that there are only finitely many nonconstant reflective automorphic forms $\\Psi$ on even lattices of squarefree level splitting two hyperbolic planes and give a complete classification in the case where the zeros of $\\Psi$ are simple and $\\Psi$ has singular weight.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-23T08:00:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "squarefree level",
      "nonconstant reflective automorphic forms",
      "hyperbolic planes",
      "complete classification",
      "singular weight"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}