{
  "abstract": "Ramanujan's modular equations of degrees $3$, $5$, $7$, $11$ and $23$ are closely related to certain theta function identities. Warnaar generalized the identities arising from the modular equations of degrees $3$ and $7$ to a general theta function identity. Kim subsequently obtained a further general theta function identity associated with the modular equations of degrees $5$, $11$ and $23$, and established several general theta function identities containing known partition theorems as special cases. In this paper, we present an elementary approach to Kim's general theta function identities, yielding $q$-series proofs of these identities within a common framework.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.09751",
  "author_total": 1,
  "authors": [
    {
      "name": "Dazhao Tang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c463saz2qt459.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.09751",
  "fulltext_url": null,
  "id": "c463saz2qt459",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.09751",
  "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.CO"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2602|Advanced Mathematical Identities"
    ]
  ],
  "openalex": "W7212177373",
  "pdf_url": "https://arxiv.org/pdf/2609.09751",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c463saz2qt459.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:15Z",
      "native_id": "2609.09751",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.09751"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "An elementary approach to Sun Kim's general theta function identities",
  "title_text": "An elementary approach to Sun Kim's general theta function identities",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:15Z",
  "url": "https://research.draconitic.com/paper/c463saz2qt459",
  "venue": "arXiv",
  "versions": []
}