{
  "abstract": "We prove that every spectral union of four bounded intervals tiles the real line by translations. The argument combines periodicity of spectra, cofactor identities for the secular determinant, and a common tiling complement for the finite spectral fibers. We also establish a rigidity theorem for six complex numbers with prescribed vanishing power sums.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37975",
  "author_total": 1,
  "authors": [
    {
      "name": "Alexander Okezue Bell"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e1vd045g6mtr0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37975",
  "fulltext_url": null,
  "id": "e1vd045g6mtr0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37975",
  "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.SP"
    ]
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.37975",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e1vd045g6mtr0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.37975",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37975"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Spectral unions of four intervals tile the real line",
  "title_text": "Spectral unions of four intervals tile the real line",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/e1vd045g6mtr0",
  "venue": "arXiv",
  "versions": []
}