{
  "abstract": "In this paper we give an analytic proof of the Two-point Chowla conjecture for the truncated Möbius function $μ_M$ for the function field case in the fixed $q$ setting. We reformulate the problem into studying the distribution of $(ω_M,ω_M\\circ T_a)$. Thus we develop a uniform bivariate Erdős-Kac theorem in terms of the characteristic function for small pair of real numbers $(u,v)$ via the Kubilius model. For this purpose we also develop and employ the pure Brun sieve for polynomials in this paper.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06471",
  "author_total": 1,
  "authors": [
    {
      "name": "Abhirup Chatterjee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/78yp8kw9kbxjq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06471",
  "fulltext_url": null,
  "id": "78yp8kw9kbxjq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06471",
  "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.NT"
    ],
    [
      "openalex",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7220745503",
  "pdf_url": "https://arxiv.org/pdf/2610.06471",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/78yp8kw9kbxjq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.06471",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06471"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Chowla Conjecture for the truncated Möbius function over $\\mathbb{F}_q[t]$",
  "title_text": "Chowla Conjecture for the truncated Möbius function over 𝔽_q[t]",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/78yp8kw9kbxjq",
  "venue": "arXiv",
  "versions": []
}