{
  "annotation_id": "8d791999-964a-40fd-93b7-cbfdbe8f7965",
  "date_created": "2026-02-17T05:53:19.907000Z",
  "date_modified": "2026-02-17T05:53:19.907000Z",
  "file_hash": "bbd842ef5af9b33fea4cba0bcf67c7f46f2e3c1c8a36b808ed4a4fab4a7b4152",
  "private": false,
  "record": {
    "abstract": "We study the congruence classes attained by positive integers $D$ with a prescribed period of the continued fraction of $\\sqrt D$. As an application, we refine the available results on large ranks of universal quadratic forms over real quadratic fields by also imposing congruence conditions on their discriminants.",
    "arxiv_id": "2601.09419",
    "authors": [
      "Veronika Mensikova",
      "Helena Muchova"
    ],
    "categories": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Using continued fractions with prescribed period for universal quadratic forms",
    "url": "https://arxiv.org/abs/2601.09419",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "524e1de3-c3e1-47d0-bddb-19017f2b03a0",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}