{
  "abstract": "Duke's equidistribution theorem shows that the nonconstant contribution of the $\\mathrm{GL}(2)$ automorphic spectrum to CM packets becomes asymptotically negligible. CM packets on the Levi base index the fibers of Bessel quotients in $\\mathrm{GSp}(4)$, and the symmetric cube correspondence carries $\\mathrm{GL}(2)$ cusp forms to $\\mathrm{GL}(4)$. In the holomorphic setting considered here, these two constructions meet inside $\\mathrm{GSp}(4)$. We prove averaged decay for the resulting class group periods over imaginary quadratic fields, expressed as averages of conditional fiber integrals. More precisely, let $f$ be a non-CM holomorphic Hecke newform with trivial central character. The mean absolute value of the associated class-group averages tends to zero along the transverse unipotent direction.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02748",
  "author_total": 2,
  "authors": [
    {
      "name": "Shenghao Hua"
    },
    {
      "name": "Shaoyun Yi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5wx0fw5s6x2d7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02748",
  "fulltext_url": null,
  "id": "5wx0fw5s6x2d7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02748",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02748",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5wx0fw5s6x2d7.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.02748",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02748"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "When GL(2) cusp forms meet CM points in GSp(4)",
  "title_text": "When GL(2) cusp forms meet CM points in GSp(4)",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/5wx0fw5s6x2d7",
  "venue": "arXiv",
  "versions": []
}