{
  "annotation_id": "abd0724d-1cdb-4067-93f4-497797ac10a8",
  "date_created": "2026-02-17T05:53:08.652000Z",
  "date_modified": "2026-02-17T05:53:08.652000Z",
  "file_hash": "5438548e11fe25459f144f184757b62ae6e4f03ac206cf3c3bc09ce08cf58b4b",
  "private": false,
  "record": {
    "abstract": "This study presents explicit evaluations of the series \\begin{equation*} \\sum_{k=1}^\\infty \\frac{H_{k/n}^{(p)}}{k^q} \\quad \\text{and} \\quad \\sum_{k=1}^\\infty \\frac{(-1)^k H_{k/2n}^{(p)}}{k^q}, \\quad p,q,n \\in \\mathbb{Z}_{\\ge 1},\\; q \\ne 1, \\end{equation*} for odd values of $p+q$. These explicit evaluations are expressed in terms of the Riemann zeta function and the Hurwitz zeta function.",
    "arxiv_id": "2601.06895",
    "authors": [
      "Ali Olaikhan"
    ],
    "categories": [
      "math.GM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Explicit Evaluations of Euler Sums Involving Harmonic Numbers with Rational Arguments",
    "url": "https://arxiv.org/abs/2601.06895",
    "version": "v2"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "640339ef-b0d6-4f6c-9cd4-f5fe3aa278d0",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}