{
  "abstract": "We study higher moments of the divisor function evaluated at polynomial expressions in the Fourier coefficients of a non-CM newform. The logarithmic exponent appearing in our estimates depends only on the number of irreducible factors of the polynomial and remains unchanged under a Sato--Tate restriction. The proof combines an effective Chebotarev theorem, or an effective Chebotarev--Sato--Tate theorem, with the arithmetic of joint cycle types and a mean value estimation for multivariable multiplicative functions with Frobenian support.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.18832",
  "author_total": 1,
  "authors": [
    {
      "name": "Wonwoong Lee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1cz2sdwbz5hc5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.18832",
  "fulltext_url": null,
  "id": "1cz2sdwbz5hc5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.18832",
  "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",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7170062723",
  "pdf_url": "https://arxiv.org/pdf/2607.18832",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1cz2sdwbz5hc5.ris",
  "sources": [
    {
      "first_seen": "2026-11-10T06:21:07Z",
      "native_id": "2607.18832",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.18832"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Divisor moments of polynomials in Fourier coefficients of modular forms",
  "title_text": "Divisor moments of polynomials in Fourier coefficients of modular forms",
  "type": "preprint",
  "updated_at": "2026-11-10T06:21:07Z",
  "url": "https://research.draconitic.com/paper/1cz2sdwbz5hc5",
  "venue": "arXiv",
  "versions": []
}