{
  "abstract": "For every fixed integer $k\\geq2$ and every fixed nonzero integer $h$, we prove that, as $x\\to\\infty$, \\begin{equation*} \\sum_{x<n\\leq2x}Λ(n)τ_k(n+h) \\sim C_{k,h}x(\\log x)^{k-1}, \\end{equation*} where $τ_k$ is the $k$-fold divisor function and $C_{k,h}>0$ is a constant depending only on $k$ and $h$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.12756",
  "author_total": 4,
  "authors": [
    {
      "name": "Guangwei Hu"
    },
    {
      "name": "Guangshi Lü"
    },
    {
      "name": "Zhiwei Wang"
    },
    {
      "name": "Jie Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a8ere4ash0rr1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.12756",
  "fulltext_url": null,
  "id": "a8ere4ash0rr1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.12756",
  "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/2611.12756",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a8ere4ash0rr1.ris",
  "sources": [
    {
      "first_seen": "2026-11-10T06:21:37Z",
      "native_id": "2611.12756",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.12756"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On the higher-order Titchmarsh divisor problem",
  "title_text": "On the higher-order Titchmarsh divisor problem",
  "type": "preprint",
  "updated_at": "2026-11-10T06:21:37Z",
  "url": "https://research.draconitic.com/paper/a8ere4ash0rr1",
  "venue": "arXiv",
  "versions": []
}