{
  "abstract": "We study the nonlinear phenomenon of the asymptotics of higher-order derivatives of the Gram function $t_u$. We also prove the uniform distribution and continuous uniform distribution modulo one of $t^n_u$ for $n = 1, 2, \\dots$. We use AI to formalize our proofs in Lean.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17349",
  "author_total": 4,
  "authors": [
    {
      "name": "Marius Dundulis"
    },
    {
      "name": "Ramūnas Garunkštis"
    },
    {
      "name": "Antanas Laurinčikas"
    },
    {
      "name": "Raivydas Šimėnas"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/14czcpe9rhkhx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17349",
  "fulltext_url": null,
  "id": "14czcpe9rhkhx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17349",
  "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.NT"
    ],
    [
      "openalex",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7221775422",
  "pdf_url": "https://arxiv.org/pdf/2610.17349",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/14czcpe9rhkhx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:19Z",
      "native_id": "2610.17349",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17349"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Higher derivatives of the Gram function",
  "title_text": "Higher derivatives of the Gram function",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/14czcpe9rhkhx",
  "venue": "arXiv",
  "versions": []
}