{
  "abstract": "The classical unsolved Gauss circle problem concerns estimating the error between the number of lattice points inside a circle and the area of the circle as its radius tends to infinity. About a century ago, Hardy proposed a conjecture concerning this problem. In this paper, we attempt to provide numerical evidence in support of the Hardy conjecture through large-scale numerical computations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04725",
  "author_total": 5,
  "authors": [
    {
      "name": "Satoshi Yamaguchi"
    },
    {
      "name": "Shoichi Fujima"
    },
    {
      "name": "Shigehiko Kuratsubo"
    },
    {
      "name": "Eiichi Nakai"
    },
    {
      "name": "Tsuyoshi Yoneda"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/drrd3c6ybkk90.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04725",
  "fulltext_url": null,
  "id": "drrd3c6ybkk90",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04725",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
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      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2602|Analytic Number Theory Research"
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  "openalex": "W7211891784",
  "pdf_url": "https://arxiv.org/pdf/2609.04725",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/drrd3c6ybkk90.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:18Z",
      "native_id": "2609.04725",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04725"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Numerical experiments on the Hardy conjecture for the Gauss circle problem",
  "title_text": "Numerical experiments on the Hardy conjecture for the Gauss circle problem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:18Z",
  "url": "https://research.draconitic.com/paper/drrd3c6ybkk90",
  "venue": "arXiv",
  "versions": []
}