{
  "id": "math/0703246",
  "version": "v2",
  "published": "2007-03-09T01:31:52.000Z",
  "updated": "2007-11-01T19:00:52.000Z",
  "title": "The spectral decomposition of shifted convolution sums",
  "authors": [
    "Valentin Blomer",
    "Gergely Harcos"
  ],
  "comment": "15 pages, LaTeX2e; v2: corrected and slightly expanded version",
  "journal": "Duke Math. J. 144 (2008), 321-339",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "We obtain a spectral decomposition of shifted convolution sums in Hecke eigenvalues of holomorphic or Maass cusp forms.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-11-01T19:00:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F30",
      "11F70",
      "11F72",
      "11F12",
      "11M41"
    ],
    "keywords": [
      "shifted convolution sums",
      "spectral decomposition",
      "maass cusp forms",
      "hecke eigenvalues"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3246B"
    }
  }
}