{
  "abstract": "For every odd prime p and every positive integer m coprime to 2p, thispreprint proves that 32m in the order-4p integer circulant-determinant spectrumimplies p^2m in that spectrum, with equivalence when p is congruent to 3modulo 4; the signed form is equivalent by sign symmetry. It also gives anexact reduction to two finite conductor/ray packet faces, constructs everynoncritical valuation region, and determines the uniform pure 2-primary andp-primary axes. The deposit includes LaTeX source, an independentverification protocol, and deterministic exact-arithmetic certificates.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Alen Radolović"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7wq46761gqmn8.bib",
  "cited_by": 7,
  "doi": "10.5281/zenodo.21845701",
  "fulltext_url": null,
  "id": "7wq46761gqmn8",
  "issns": [],
  "landing_url": "https://doi.org/10.5281/zenodo.21845701",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7201997309",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-08",
  "publisher": "European Organization for Nuclear Research",
  "ris": "https://research.draconitic.com/paper/7wq46761gqmn8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:17Z",
      "native_id": "W7201997309",
      "source": "openalex",
      "url": "https://doi.org/10.5281/zenodo.21845701"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2602|Analytic Number Theory Research",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A Pointwise Critical-Face Transfer for Circulant Determinants of Order 4p",
  "title_text": "A Pointwise Critical-Face Transfer for Circulant Determinants of Order 4p",
  "type": "preprint",
  "updated_at": "2026-11-06T13:20:22Z",
  "url": "https://research.draconitic.com/paper/7wq46761gqmn8",
  "venue": "Zenodo (CERN European Organization for Nuclear Research)",
  "versions": []
}