{
  "abstract": "We study the equidistribution in arithmetic progressions modulo powers of a fixed odd prime of Hecke eigenvalues of noncuspidal $\\mathrm{GL}_3$ automorphic forms, with a focus on the convolution coefficients $λ_{1\\boxplus f}(n)=(λ_f\\star 1)(n)$,attached to a level $1$ holomorphic primitive cusp form $f$. Utilizing techniques introduced by Kowalski--Lin--Michel and Milićević, we prove the exponent $\\vartheta=1/2+7/458-\\varepsilon$ is admissible.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16700",
  "author_total": 2,
  "authors": [
    {
      "name": "Hui wang"
    },
    {
      "name": "Tengyou Zhu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/31wyywsa1f07e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16700",
  "fulltext_url": null,
  "id": "31wyywsa1f07e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.16700",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.16700",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/31wyywsa1f07e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:45Z",
      "native_id": "2609.16700",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16700"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Triple divisor type functions in arithmetic progressions to prime power moduli",
  "title_text": "Triple divisor type functions in arithmetic progressions to prime power moduli",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/31wyywsa1f07e",
  "venue": "arXiv",
  "versions": []
}