{
  "abstract": "Euler's constant $γ$, also known as the Euler-Mascheroni constant, remains one of the most elusive constants in mathematics. Despite extensive study, its irrationality is still unproven, and Apéry-like approximations of it are remarkably scarce. We present a novel identity that expresses $γ$ in terms of a Meijer G-function and its first few derivatives. This identity is then generalized and used to systematically generate infinitely many Apéry-like approximations of $γ$ using a Conservative Matrix Field construction based on the Meijer G-function.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13919",
  "author_total": 6,
  "authors": [
    {
      "name": "Rotem Kalisch"
    },
    {
      "name": "Tali Monderer"
    },
    {
      "name": "Elyasheev Leibtag"
    },
    {
      "name": "Shachar Weinbaum"
    },
    {
      "name": "Michael Shalyt"
    },
    {
      "name": "Ido Kaminer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eqzvn6ymw7zfn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13919",
  "fulltext_url": null,
  "id": "eqzvn6ymw7zfn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13919",
  "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.SC"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2602|Advanced Mathematical Identities"
    ]
  ],
  "openalex": "W7221506307",
  "pdf_url": "https://arxiv.org/pdf/2610.13919",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eqzvn6ymw7zfn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.13919",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13919"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "An Infinite Family of Apéry-like Recurrences for Euler's Constant",
  "title_text": "An Infinite Family of Apéry-like Recurrences for Euler's Constant",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/eqzvn6ymw7zfn",
  "venue": "arXiv",
  "versions": []
}