{
  "abstract": "We construct a big Witt theory associated with coefficient-multiplicative normalized $σ$-twisted Lubin-Tate formal groups. The resulting $F$-big Witt ring extends Hazewinkel's ramified $q$-typical Witt theory and recovers the usual big Witt ring in the multiplicative case. We also introduce Fleck operators defined from iterated Coleman traces and prove Lubin-Tate analogues of the Fleck-Sun-Wan congruences for both positive and negative powers. By relating the Lubin-Tate Coleman theory to the $F$-big Witt theory, we obtain a Coleman $F$-norm whose integrality yields congruences among the corresponding Fleck coefficients.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.14164",
  "author_total": 1,
  "authors": [
    {
      "name": "Yutaro Matsuno"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/655jchm6sxjf5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.14164",
  "fulltext_url": null,
  "id": "655jchm6sxjf5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.14164",
  "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",
      "math.NT"
    ],
    [
      "openalex",
      "2602|Advanced Mathematical Identities"
    ]
  ],
  "openalex": "W7213270143",
  "pdf_url": "https://arxiv.org/pdf/2609.14164",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/655jchm6sxjf5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2609.14164",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.14164"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Twisted Lubin-Tate Big Witt Vectors and Fleck-Sun-Wan Congruences",
  "title_text": "Twisted Lubin-Tate Big Witt Vectors and Fleck-Sun-Wan Congruences",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/655jchm6sxjf5",
  "venue": "arXiv",
  "versions": []
}