{
  "abstract": "We give a new and shorter proof of a quantitative inverse theorem for the Gowers $U^4$-norm in the setting of high-dimensional vector spaces over finite fields.",
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  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15788",
  "author_total": 1,
  "authors": [
    {
      "name": "Sarah Peluse"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/10rsnt7sxnzet.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15788",
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  "landing_url": "https://arxiv.org/abs/2609.15788",
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  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "arxiv",
      "math.CO"
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      "arxiv",
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      "2607|Limits and Structures in Graph Theory"
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  "openalex": "W7213332751",
  "pdf_url": "https://arxiv.org/pdf/2609.15788",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/10rsnt7sxnzet.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.15788",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15788"
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  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
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  ],
  "title": "Another proof of the $U^4(\\mathbf{F}_p^n)$-inverse theorem",
  "title_text": "Another proof of the U^4(F_p^n)-inverse theorem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/10rsnt7sxnzet",
  "venue": "arXiv",
  "versions": []
}