{
  "abstract": "We give a detailed account of the recent work of Hickman and Srivastava on counting integral points in a $ δ$-neighbourhood of a dilate $ q \\mathcal{M} $ of a non-degenerate curve $ \\mathcal{M} \\subset \\mathbb{R}^{n} $, $ n \\ge 3 $. Our aim is expository: we simplify the proof, provide additional details, refine the statement of the theorem and provide calculations from a more fundamental perspective. We also formulate a new conjecture based on recent work of Chen, Seeger, Srivastava and Technau.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29643",
  "author_total": 1,
  "authors": [
    {
      "name": "Tianliang Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/02vn2fdgmfng8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29643",
  "fulltext_url": null,
  "id": "02vn2fdgmfng8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29643",
  "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.CA"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7204956032",
  "pdf_url": "https://arxiv.org/pdf/2608.29643",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/02vn2fdgmfng8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2608.29643",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29643"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Counting integral points near curves: an exposition",
  "title_text": "Counting integral points near curves: an exposition",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/02vn2fdgmfng8",
  "venue": "arXiv",
  "versions": []
}