{
  "abstract": "We correct several numerical errors in the definition of the Yousef L-function\n\nthat appeared in an earlier preprint. We provide the correct values of Q(p) for odd\n\nprimes p ≤ 39, derive the corrected Euler product, and present the general formula\n\nfor the difference function D(s) = L(s, χ4) − LYousef(s) at an arbitrary complex\n\nvariable s. The coefficient c(n) = χ4(n)−G(n) takes values in {0, ±2, ±(1+i), ±(1−\n\ni)}. After extracting the factor 2, we define Z(n) = 2/c(n) and prove the structural\n\nidentity ℜ(Z(n)) = χ4(n), valid for all s. This reveals that the non-periodicity of\n\nthe Yousef L-function is confined to the imaginary part of Z(n). We also establish\n\na generalized Redheffer determinant formula and provide a Mellin representation of\n\nD(s) for all s with ℜ(s) > 1.",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "YOUSEF MUHAMMAD ALSAGHIR Al YOUSEF"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/72bq9g4w6eqs2.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23416249",
  "fulltext_url": null,
  "id": "72bq9g4w6eqs2",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23416249",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": "https://zenodo.org/api/records/23416249/files/The%20Yousef%20L-Function_%20Corrections,%20the__General%20Variable%20s,%20and%20the%20Generalized__Redheffer%20Matrix_.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/72bq9g4w6eqs2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "23416249",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23416249"
    }
  ],
  "subjects": [],
  "title": "The Yousef L-Function: Corrections, the General Variable s, and the Generalized Redheffer Matrix",
  "title_text": "The Yousef L-Function: Corrections, the General Variable s, and the Generalized Redheffer Matrix",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:45Z",
  "url": "https://research.draconitic.com/paper/72bq9g4w6eqs2",
  "venue": "Zenodo",
  "versions": []
}