{
  "abstract": "We establish a class formula with variable for arbitrary effective Anderson motives. This pursues the pioneering work of Taelman and extends the scope of the work of Anglès-Ngo Dac-Tavares Ribeiro, removing the admissibility assumption and allowing for more general Anderson modules. In the same setting, we further conjecture a \"nondeterminantal\" version of the class formula which holds before taking determinants and prove a weak version of it. Finally, we prove an overconvergent version of the class formula and derive from it strong convergence properties for the associated L-series.",
  "abstract_shown": true,
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  "article_type": null,
  "arxiv": "2609.17321",
  "author_total": 3,
  "authors": [
    {
      "name": "Xavier Caruso"
    },
    {
      "name": "Quentin Gazda"
    },
    {
      "name": "Alexis Lucas"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/39xe3w5m05j9g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.17321",
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  "id": "39xe3w5m05j9g",
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  "landing_url": "https://hal.science/hal-05745645v1",
  "language": "en",
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  "pdf_url": "https://hal.science/hal-05745645/document",
  "pmcid": null,
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  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/39xe3w5m05j9g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:33Z",
      "native_id": "hal-05745645",
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      "url": "https://hal.science/hal-05745645v1"
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      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.17321"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
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  "title": "A class formula for effective Anderson motives",
  "title_text": "A class formula for effective Anderson motives",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/39xe3w5m05j9g",
  "venue": "HAL",
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}