{
  "abstract": "We revisit Fourier's method for proving the irrationality of $e$ and generalize it into a unified Diophantine framework, which applies to a broad class of series with bounded or mildly growing integer numerators, and suitably growing, divisible denominators. Using integer linear forms, we establish a general criterion that recovers classical irrationality results while also generating new ones within a single structural approach.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: The Mathematical Gazette (2026)",
  "arxiv": "2610.40698",
  "author_total": 2,
  "authors": [
    {
      "name": "Archan Chattopadhyay"
    },
    {
      "name": "Chandan Chattopadhyay"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/41wdt4fp0j210.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40698",
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  "id": "41wdt4fp0j210",
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  "landing_url": "https://arxiv.org/abs/2610.40698",
  "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": [
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      "arxiv",
      "math.HO"
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40698",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/41wdt4fp0j210.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.40698",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40698"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A Diophantine generalization of Fourier's irrationality trick",
  "title_text": "A Diophantine generalization of Fourier's irrationality trick",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:52Z",
  "url": "https://research.draconitic.com/paper/41wdt4fp0j210",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1080/00255572.2026.2748847",
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      "title": null,
      "venue": null
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  ]
}