{
  "abstract": "Let $π$ be an irreducible generic representation of $\\operatorname{GL}_n(\\mathbb{C})$. We classify the exceptional poles of the associated Asai $L$-function $L(s,π,\\mathrm{As})$ and give a representation-theoretic characterization of them. When $π$ is in general position, we further express $L(s,π,\\mathrm{As})$ in terms of the exceptional $L$-factors attached to the irreducible constituents occurring in the derivatives of $π$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.34165",
  "author_total": 1,
  "authors": [
    {
      "name": "Akash Yadav"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f2bh8p4c6kfx5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.34165",
  "fulltext_url": null,
  "id": "f2bh8p4c6kfx5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.34165",
  "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"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7214717288",
  "pdf_url": "https://arxiv.org/pdf/2609.34165",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f2bh8p4c6kfx5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.34165",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.34165"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Exceptional poles of archimedean Asai $L$-functions",
  "title_text": "Exceptional poles of archimedean Asai L-functions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/f2bh8p4c6kfx5",
  "venue": "arXiv",
  "versions": []
}