{
  "id": "0812.3025",
  "version": "v1",
  "published": "2008-12-16T10:47:11.000Z",
  "updated": "2008-12-16T10:47:11.000Z",
  "title": "The number of Hecke eigenvalues of same signs",
  "authors": [
    "Yuk Kam Lau",
    "Jie Wu"
  ],
  "comment": "to appear in Math. Z",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give the best possible lower bounds in order of magnitude for the number of positive and negative Hecke eigenvalues. This improves upon a recent work of Kohnen, Lau & Shparlinski. Also, we study an analogous problem for short intervals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-16T10:47:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F30",
      "11N25"
    ],
    "keywords": [
      "lower bounds",
      "negative hecke eigenvalues",
      "short intervals",
      "shparlinski",
      "analogous problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.3025L"
    }
  }
}