{
  "id": "1505.01538",
  "version": "v1",
  "published": "2015-05-06T23:24:49.000Z",
  "updated": "2015-05-06T23:24:49.000Z",
  "title": "Eigenform Product Identities For Hilbert Modular Forms",
  "authors": [
    "Kirti Joshi",
    "Yichao Zhang"
  ],
  "comment": "24 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that amongst all real quadratic fields and all spaces of Hilbert modular forms of full level and of weight $2$ or greater, the product of two Hecke eigenforms is not a Hecke eigenform except for finitely many real quadratic fields and finitely many weights. We show that for $\\mathbb Q(\\sqrt 5)$ there are exactly two such identities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-06T23:24:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F41",
      "11F30"
    ],
    "keywords": [
      "hilbert modular forms",
      "eigenform product identities",
      "real quadratic fields",
      "hecke eigenform",
      "full level"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150501538J"
    }
  }
}