{
  "abstract": "We computationally investigate a weight 3 analogue of the relationship between higher Bloch groups, algebraic K-theory, higher regulators, and special values of Dedekind zeta functions. In particular, for F a number field F, we define the pruned Bloch group B _3(F) and compare the covolume of its regulator lattice with zeta_F(3). We define a quantity kappa_3(F), which is conjecturally an integer, that is expected to be closely related to the order of K_4(O_F).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36136",
  "author_total": 3,
  "authors": [
    {
      "name": "Herbert Gangl"
    },
    {
      "name": "Paul E. Gunnells"
    },
    {
      "name": "Dan Yasaki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5x1gaf1c7fnd5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36136",
  "fulltext_url": null,
  "id": "5x1gaf1c7fnd5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36136",
  "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.KT"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2602|Advanced Mathematical Identities"
    ]
  ],
  "openalex": "W7224108549",
  "pdf_url": "https://arxiv.org/pdf/2610.36136",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5x1gaf1c7fnd5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.36136",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36136"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.KT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Computations in weight 3 of higher Bloch groups",
  "title_text": "Computations in weight 3 of higher Bloch groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/5x1gaf1c7fnd5",
  "venue": "arXiv",
  "versions": []
}