{
  "id": "2211.13570",
  "version": "v1",
  "published": "2022-11-24T12:42:48.000Z",
  "updated": "2022-11-24T12:42:48.000Z",
  "title": "Linear Combinations of Dirichlet Series Associated with the Thue-Morse Sequence",
  "authors": [
    "László Tóth"
  ],
  "journal": "INTEGERS 22 (2022), Article 98",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we study sums of Dirichlet series whose coefficients are terms of the Thue-Morse sequence and variations thereof. We find closed-form expressions for such sums in terms of known constants and functions including the Riemann zeta function and the Dirichlet eta function using elementary methods.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-24T12:42:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A63",
      "68R15",
      "11Y60",
      "11B85",
      "11M41"
    ],
    "keywords": [
      "dirichlet series",
      "thue-morse sequence",
      "linear combinations",
      "riemann zeta function",
      "dirichlet eta function"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}