{
  "id": "1912.11261",
  "version": "v1",
  "published": "2019-12-24T09:37:55.000Z",
  "updated": "2019-12-24T09:37:55.000Z",
  "title": "Symmetric power functoriality for holomorphic modular forms",
  "authors": [
    "James Newton",
    "Jack A. Thorne"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $f$ be a cuspidal Hecke eigenform of level 1. We prove the automorphy of the symmetric power lifting $\\mathrm{Sym}^n f$ for every $n \\geq 1$. We establish the same result for a more general class of cuspidal Hecke eigenforms, including all those associated to semistable elliptic curves over $\\mathbb{Q}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-24T09:37:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "holomorphic modular forms",
      "symmetric power functoriality",
      "cuspidal hecke eigenform",
      "semistable elliptic curves",
      "general class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}