{
  "id": "1409.0331",
  "version": "v1",
  "published": "2014-09-01T08:55:18.000Z",
  "updated": "2014-09-01T08:55:18.000Z",
  "title": "Some Applications of Laplace Transforms in Analytic Number Theory",
  "authors": [
    "Aleksandar Ivić"
  ],
  "comment": "15 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this overview paper, presented at the meeting DANS14, Novi Sad, July3-7, 2014, we give some applications of Laplace transforms to analytic number theory. These include the classical circle and divisor problem, moments of $|\\zeta(1/2+it)|$, and a discussion of two functional equations connected to a work of Prof. Bogoljub Stankovi\\'c.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-01T08:55:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A10",
      "39B22",
      "11N37",
      "11M06"
    ],
    "keywords": [
      "analytic number theory",
      "laplace transforms",
      "applications",
      "novi sad",
      "overview paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.0331I"
    }
  }
}