{
  "abstract": "Let $C(d,2)$ be the optimal dimension-free ratio between the polytorus and Boolean-cube norms of complex multiaffine polynomials of degree at most $d$. For every $d$, $C(d,2)$ equals the unrestricted complexification constant of the real cube for complex polynomials of degree at most $d$. Moreover, $\\lim_{d\\to\\infty}C(d,2)^{1/d}=1+\\sqrt2$, and for every $d\\ge3$, $β(1-6/(5d))(1+\\sqrt2)^d\\le C(d,2)\\le(1+\\sqrt2)^d$, where $β=15π/[2(5\\sqrt{26}+\\log(5+\\sqrt{26}))]=0.8473222863\\ldots$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.30587",
  "author_total": 3,
  "authors": [
    {
      "name": "Luis Miguel Castaño-Marín"
    },
    {
      "name": "Daniel Núñez-Alarcón"
    },
    {
      "name": "Joedson Santos"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bq1vy8nrsz5hk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30587",
  "fulltext_url": null,
  "id": "bq1vy8nrsz5hk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.30587",
  "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.FA"
    ],
    [
      "openalex",
      "2612|Mathematical Approximation and Integration"
    ]
  ],
  "openalex": "W7214642864",
  "pdf_url": "https://arxiv.org/pdf/2609.30587",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bq1vy8nrsz5hk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2609.30587",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30587"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Binary dimension-free discretization and polynomial complexification on real cubes",
  "title_text": "Binary dimension-free discretization and polynomial complexification on real cubes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/bq1vy8nrsz5hk",
  "venue": "arXiv",
  "versions": []
}