{
  "abstract": "We study the concatenation of two $k$-generalized Pell numbers. More precisely, we determine all solutions of the equation $P_n^{(k)} = P_m^{(k)} \\cdot 10^{d} + P_p^{(k)}$, where $d$ is the number of decimal digits of $P_p^{(k)}$. We prove that for $k \\ge 3$ there are no solutions, while for $k = 2$ the only solution is $P_4 = 12 = 1\\|2$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.15290",
  "author_total": 4,
  "authors": [
    {
      "name": "Cherif B. Deme"
    },
    {
      "name": "Kancou D. Fall"
    },
    {
      "name": "Khady Faye"
    },
    {
      "name": "Bernadette Faye"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fmxg93g0q7dgy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.15290",
  "fulltext_url": null,
  "id": "fmxg93g0q7dgy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.15290",
  "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",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7164944092",
  "pdf_url": "https://arxiv.org/pdf/2606.15290",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fmxg93g0q7dgy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2606.15290",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.15290"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On concatenations of two $k$-generalized Pell numbers",
  "title_text": "On concatenations of two k-generalized Pell numbers",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/fmxg93g0q7dgy",
  "venue": "arXiv",
  "versions": []
}