{
  "abstract": "Let $\\eps=(\\eps_i)_{i\\ge1}$ be a sequence with $\\eps_i\\in\\{-1,1\\}$, and let $v_n(\\eps)$ be the positive denominator of $\\sum_{i=1}^n\\eps_i/i$ in lowest terms. We prove that $|\\{1\\le n\\le x:v_n(\\eps)\\ne v_{n+1}(\\eps)\\}|=o(x)$ uniformly in $\\eps$. In particular, the set of positive integers $n$ with $v_n(\\eps)=v_{n+1}(\\eps)$ has asymptotic density one for every sequence of signs. This answers a problem of Wu and Chen, \\emph{J. Number Theory} \\textbf{200} (2019), 397--406.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26622",
  "author_total": 1,
  "authors": [
    {
      "name": "Quan-Hui Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/00xjzentvyns7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26622",
  "fulltext_url": null,
  "id": "00xjzentvyns7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26622",
  "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.CO"
    ],
    [
      "openalex",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7222997440",
  "pdf_url": "https://arxiv.org/pdf/2610.26622",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/00xjzentvyns7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.26622",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26622"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "On the denominators of signed harmonic sums",
  "title_text": "On the denominators of signed harmonic sums",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/00xjzentvyns7",
  "venue": "arXiv",
  "versions": []
}