{
  "id": "1108.2715",
  "version": "v2",
  "published": "2011-08-12T20:52:25.000Z",
  "updated": "2011-09-12T14:10:34.000Z",
  "title": "Exponential sums with coefficients of certain Dirichlet series",
  "authors": [
    "Stephan Baier"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Under the generalized Lindel\\\"of Hypothesis in the t- and q-aspects, we bound exponential sums with coefficients of Dirichlet series belonging to a certain class. We use these estimates to establish a conditional result on squares of Hecke eigenvalues at Piatetski-Shapiro primes.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-09-12T14:10:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L07"
    ],
    "keywords": [
      "coefficients",
      "bound exponential sums",
      "piatetski-shapiro primes",
      "conditional result",
      "hecke eigenvalues"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.2715B"
    }
  }
}