{
  "annotation_id": "1a377546-9d8e-467d-b9c4-9b1da75201b1",
  "date_created": "2026-02-17T05:53:15.631000Z",
  "date_modified": "2026-02-17T05:53:15.631000Z",
  "file_hash": "d4f7947f8e04b77a552c102d70c1d3b68bd0cedc3367e2963c9c84a6c058c5c3",
  "private": false,
  "record": {
    "abstract": "Two divergent series in Entry 7 of Gauss\u0027s diary are extended systematically by introducing additional parameters. Rogers-Fine identities, Ramanujan\u0027s continued fractions and Heine\u0027s transformation relations of basic hypergeometric series are applied to find equivalent alternative series, which enable us to compute the sums of divergent series in question.",
    "arxiv_id": "2601.08456",
    "authors": [
      "Kiyoshi Sogo"
    ],
    "categories": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Divergent series in Gauss\u0027s diary and their extensions",
    "url": "https://arxiv.org/abs/2601.08456",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "816ca821-ee16-4951-87cd-efc19fbfdbb8",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}