{
  "abstract": "Let $G$ be a split reductive group over a $p$-adic field. We give germ expansions of Kloosterman integrals for $G$. As an application, we prove that Bessel distributions are regular for all generic representations on $G$ provided that Kloosterman sums for any Levi subgroups of $G$ have nontrivial bounds.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.29852",
  "author_total": 3,
  "authors": [
    {
      "name": "Li Cai"
    },
    {
      "name": "Jingsong Chai"
    },
    {
      "name": "Yadi Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8wvvde9xe1es7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.29852",
  "fulltext_url": null,
  "id": "8wvvde9xe1es7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.29852",
  "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.NT"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7166675422",
  "pdf_url": "https://arxiv.org/pdf/2606.29852",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8wvvde9xe1es7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:04Z",
      "native_id": "2606.29852",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.29852"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Bessel Distributions and Kloosterman Sums",
  "title_text": "Bessel Distributions and Kloosterman Sums",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/8wvvde9xe1es7",
  "venue": "arXiv",
  "versions": []
}