{
  "abstract": "We study iterated cotangent integrals with cyclotomic shifts and express their values along specified reference paths in terms of cyclotomic multiple zeta values. Differences of cotangent forms extend to a punctured projective line over a totally real cyclotomic field, giving a family of \"real cyclotomic multiple zeta values.\" With rational tangential endpoints, these difference integrals are periods of mixed Tate motives over that field; integral endpoint data yield periods over its ring of integers after inverting primes dividing the level. The associated framed motivic classes generate a Hopf subalgebra under Goncharov's coproduct.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04214",
  "author_total": 2,
  "authors": [
    {
      "name": "Jin Cao"
    },
    {
      "name": "Hidekazu Furusho"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/62878560v4vzw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04214",
  "fulltext_url": null,
  "id": "62878560v4vzw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04214",
  "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.AG"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2602|Advanced Mathematical Identities"
    ]
  ],
  "openalex": "W7220686682",
  "pdf_url": "https://arxiv.org/pdf/2610.04214",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/62878560v4vzw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.04214",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04214"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Iterated cotangent-difference integrals over totally real cyclotomic fields",
  "title_text": "Iterated cotangent-difference integrals over totally real cyclotomic fields",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/62878560v4vzw",
  "venue": "arXiv",
  "versions": []
}