{
  "abstract": "In this note we count the number of solutions to a non-degenerate quadratic form in eight prime variables of off-diagonal rank $3$. It is a continuation of work by L. Zhao, who counted solutions to forms in at least nine variables, by B. Green, who counted solutions to 'generic' (which implies off-diagonal rank $4$) forms in eight variables, and by J. Dobrowolski, who counted solutions to forms in eight variables of off-diagonal rank at most $2$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.30920",
  "author_total": 1,
  "authors": [
    {
      "name": "Aleksandra Kowalska"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5cr4rpxw59xnm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.30920",
  "fulltext_url": null,
  "id": "5cr4rpxw59xnm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.30920",
  "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.CO"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7204888105",
  "pdf_url": "https://arxiv.org/pdf/2608.30920",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5cr4rpxw59xnm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.30920",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.30920"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Counting solutions to quadratic forms in eight prime variables of off-diagonal rank $3$",
  "title_text": "Counting solutions to quadratic forms in eight prime variables of off-diagonal rank $3$",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/5cr4rpxw59xnm",
  "venue": "arXiv",
  "versions": []
}