{
  "abstract": "The Habsieger--Kadell $q$-Morris constant term identity, which is equivalent to the famous $q$-Selberg integral, has been generalized in numerous ways since the 1980s. Among these, there are two important generalizations: (i) the $q$-Baker--Forrester ex-conjecture, which was conjectured by Baker and Forrester in 1998 and proved by Károlyi, Nagy, Petrov and Volkov in 2015; (ii) the AFLT-type $q$-Morris identity (equivalently, the AFLT-type $q$-Selberg integral), which was obtained by Albion, Rains and Warnaar in 2021, as a $q$-analog of the result of Alba, Fateev, Litvinov and Tarnopolskiy (AFLT). In this paper, by the Gessel--Xin method and the Macdonald polynomials with prescribed symmetry, we unify these two generalizations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05836",
  "author_total": 3,
  "authors": [
    {
      "name": "Zihao Huang"
    },
    {
      "name": "Wenlong Jiang"
    },
    {
      "name": "Yue Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/feb99egv1j7v3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05836",
  "fulltext_url": null,
  "id": "feb99egv1j7v3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05836",
  "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.CO"
    ],
    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
    ]
  ],
  "openalex": "W7212041760",
  "pdf_url": "https://arxiv.org/pdf/2609.05836",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/feb99egv1j7v3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.05836",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05836"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "An AFLT-type generalization of the $q$-Baker--Forrester ex-conjecture",
  "title_text": "An AFLT-type generalization of the q-Baker--Forrester ex-conjecture",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/feb99egv1j7v3",
  "venue": "arXiv",
  "versions": []
}