{
  "abstract": "We construct a sequence of finite Rodriguez-Villegas transforms converging locally uniformly to the Riemann $ξ$-function in the critical strip. The input is a positive symmetric profile on the unit interval obtained from the Riemann theta kernel through convolution with the hyperbolic-secant kernel and the logistic coordinate. The profile is a Stieltjes function of $x(1-x)$. Its Bernstein polynomials produce reciprocal numerators and exact finite functional equations. The same numerators admit an exact realization as fermionic supertraces, while the Bernstein polynomials are normalized Gibbs traces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25564",
  "author_total": 1,
  "authors": [
    {
      "name": "Alisson M. Silva"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/andr9qs7n9ngq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25564",
  "fulltext_url": null,
  "id": "andr9qs7n9ngq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25564",
  "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-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7214112850",
  "pdf_url": "https://arxiv.org/pdf/2609.25564",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/andr9qs7n9ngq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:39Z",
      "native_id": "2609.25564",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25564"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Finite Rodriguez-Villegas Approximants to the Riemann $ξ$-Function",
  "title_text": "Finite Rodriguez-Villegas Approximants to the Riemann ξ-Function",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/andr9qs7n9ngq",
  "venue": "arXiv",
  "versions": []
}