{
  "annotation_id": "c0753e79-ac3e-4f10-afa2-8a203914f964",
  "date_created": "2026-03-02T18:01:27.606000Z",
  "date_modified": "2026-03-02T18:01:27.606000Z",
  "file_hash": "fd8bc7c137be49c98192ec0cca30191344e042508217ba37f3096f0e15c5d1fc",
  "private": false,
  "record": {
    "abstract": "Properties of the $q$-ultraspherical polynomials for $q$ being a primitive\nroot of unity are derived using a formalism of the $so_q(3)$ algebra. The\northogonality condition for these polynomials provides a new class of\ntrigonometric identities representing discrete finite-dimensional analogs of\n$q$-beta integrals of Ramanujan.",
    "arxiv_id": "q-alg/9605033",
    "authors": [
      "V. Spiridonov",
      "A. Zhedanov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/BF00416020",
    "journal_ref": "Lett. Math. Phys. 37 (1996) 173-180",
    "title": "q-Ultraspherical polynomials for q a root of unity",
    "url": "https://arxiv.org/abs/q-alg/9605033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "518508b3-b6a8-4b24-a52a-9e81106ce8fb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}