{
  "abstract": "We prove the cyclic-product conjecture of Holmes, Holroyd and Ramírez: among all circular arrangements of a decreasing positive sequence, the circular-symmetric ``greedy'' arrangement maximises every consecutive cyclic product sum $P_r$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.27843",
  "author_total": 2,
  "authors": [
    {
      "name": "Paata Ivanisvili"
    },
    {
      "name": "Shengtong Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/94b9g003wqygv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.27843",
  "fulltext_url": null,
  "id": "94b9g003wqygv",
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  "landing_url": "https://arxiv.org/abs/2609.27843",
  "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.CA"
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    [
      "arxiv",
      "math.CO"
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      "math.FA"
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    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
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  "openalex": "W7214214767",
  "pdf_url": "https://arxiv.org/pdf/2609.27843",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/94b9g003wqygv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.27843",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.27843"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "A proof of the Holmes-Holroyd-Ramirez cyclic-product conjecture",
  "title_text": "A proof of the Holmes-Holroyd-Ramirez cyclic-product conjecture",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/94b9g003wqygv",
  "venue": "arXiv",
  "versions": []
}