{
  "id": "2109.08686",
  "version": "v1",
  "published": "2021-09-17T17:32:32.000Z",
  "updated": "2021-09-17T17:32:32.000Z",
  "title": "Summation of certain trigonometric series with logarithmic coefficients",
  "authors": [
    "Rufus Boyack"
  ],
  "comment": "Published version",
  "doi": "10.1007/s41478-021-00327-4",
  "categories": [
    "math.CA"
  ],
  "abstract": "The sums of three trigonometric series with logarithmic coefficients are derived by extending an approach first utilized by Lerch. By applying Frullani's theorem to two of these series, two non-trivial integrals involving hyperbolic functions are evaluated in terms of the digamma function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-17T17:32:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "trigonometric series",
      "logarithmic coefficients",
      "digamma function",
      "hyperbolic functions",
      "approach first"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}