{
  "annotation_id": "98fead51-7037-4aed-9b62-768e88055b19",
  "date_created": "2026-02-17T05:53:08.658000Z",
  "date_modified": "2026-02-17T05:53:08.658000Z",
  "file_hash": "a7ccccdcd6e755edee2ac33b0cb8be9d555b79872536042a6d5315d034d49beb",
  "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": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b6e10459-a6fe-4ca7-aa0d-cb1da0b41f6e",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}