{
  "abstract": "Let $S=(s_1,s_2,\\cdots)$ be a strictly increasing sequence of positive integers. For any real number $α>0$, let $S_α=(\\lfloorαs_1\\rfloor,\\lfloorαs_2\\rfloor,\\cdots)$. We prove that if $s_{n+1}\\le 2s_n$ for every positive integer $n$, then there exists $0<α<1$ such that $S_α$ is strongly complete. In addition, this gives a negative answer to a problem of Ma and Chen in [Acta Arith. 203 (2022), 307--318]. We also prove that the same result is true if $s_{n+1}\\le 2s_n$ for all sufficiently large $n$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38288",
  "author_total": 2,
  "authors": [
    {
      "name": "Bing-Ling Wu"
    },
    {
      "name": "Wu-Xia Ma"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5sk36hsy1fky9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38288",
  "fulltext_url": null,
  "id": "5sk36hsy1fky9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38288",
  "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/2610.38288",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5sk36hsy1fky9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38288",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38288"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A note on a problem of Ma and Chen",
  "title_text": "A note on a problem of Ma and Chen",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/5sk36hsy1fky9",
  "venue": "arXiv",
  "versions": []
}