{
  "abstract": "Let $π$ be a genuine irreducible cuspidal automorphic representation of the $n$-fold cover $SL_2^{(n)}(\\mathbb{A})$ of $SL_2(\\mathbb{A})$, $n \\geq 3$ odd, and let $τ$ be the genuine representation of $GL_1^{(n)}(\\mathbb{A})$ obtained from a unitary Hecke character of $\\mathbb{A}^\\times$. We prove that, for a certain choice of data, a new way integral for $SL_2^{(n)}(\\mathbb{A})$ represents the partial $L$-function $L^S(ns+\\tfrac12,π\\timesτ)$. The integral is derived from the generalized doubling integral of Cai, Friedberg, Ginzburg and Kaplan, following the idea of Ginzburg and Soudry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.19110",
  "author_total": 1,
  "authors": [
    {
      "name": "Tianxiang Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7tk5xqrx2hgv9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.19110",
  "fulltext_url": null,
  "id": "7tk5xqrx2hgv9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.19110",
  "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"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7222299809",
  "pdf_url": "https://arxiv.org/pdf/2610.19110",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7tk5xqrx2hgv9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.19110",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.19110"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A new way integral for the $n$-fold cover of $SL_2$",
  "title_text": "A new way integral for the n-fold cover of SL_2",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/7tk5xqrx2hgv9",
  "venue": "arXiv",
  "versions": []
}