{
  "abstract": "We prove that there exists $A\\subseteq \\mathbb{N}$ such that \\[ R_A(N)=\\fracπ{4}N+ O\\!\\left(N^{1/4}\\sqrt{\\log N}\\right), \\] where $R_A(N)=\\#\\{(a,b)\\in A^2:a+b\\le N\\}$. This improves the record $O(N^{1/4}\\log N)$ obtained by Ruzsa in 1997.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.27673",
  "author_total": 2,
  "authors": [
    {
      "name": "Quan-Hui Yang"
    },
    {
      "name": "Lilu Zhao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5cwee683a7jja.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.27673",
  "fulltext_url": null,
  "id": "5cwee683a7jja",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.27673",
  "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"
    ],
    [
      "openalex",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7214161022",
  "pdf_url": "https://arxiv.org/pdf/2609.27673",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5cwee683a7jja.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.27673",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.27673"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "A converse to the Erdős-Fuchs theorem",
  "title_text": "A converse to the Erdős-Fuchs theorem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/5cwee683a7jja",
  "venue": "arXiv",
  "versions": []
}