{
  "id": "1107.2042",
  "version": "v1",
  "published": "2011-07-11T14:37:10.000Z",
  "updated": "2011-07-11T14:37:10.000Z",
  "title": "On the subconvexity problem for $GL(3)\\times GL(2)$ $L$-functions",
  "authors": [
    "Rizwanur Khan"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Fix $g$ a self-dual Hecke-Maass form for $SL_3(\\mathbb{Z})$. Let $f$ be a holomorphic newform of prime level $q$ and fixed weight. Conditional on a lower bound for a short sum of squares of Fourier coefficients of $f$, we prove a subconvexity bound in the $q$ aspect for $L(s, g\\times f)$ at the central point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-11T14:37:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "subconvexity problem",
      "self-dual hecke-maass form",
      "central point",
      "holomorphic newform",
      "lower bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.2042K"
    }
  }
}