{
  "abstract": "Denote by $Π_γ(x)$ the number of primes $p \\leqslant x$ such that $[p^{1/γ}]$ is also a prime. In this paper, it is proved that the expected asymptotic formula \\begin{equation*} Π_γ(x)=\\frac{γx}{(\\log x)^2} (1+o(1)) \\end{equation*} holds for $γ> 15/13$, which constitutes an improvement upon the previous result of Balog [2] who showed that the above asymptotic formula holds for $γ> 6/5$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.15140",
  "author_total": 3,
  "authors": [
    {
      "name": "Linji Long"
    },
    {
      "name": "Jinjiang Li"
    },
    {
      "name": "Min Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ee0xj7yw43p07.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.15140",
  "fulltext_url": null,
  "id": "ee0xj7yw43p07",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.15140",
  "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": "W7221833191",
  "pdf_url": "https://arxiv.org/pdf/2610.15140",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ee0xj7yw43p07.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.15140",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.15140"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On a variant of the Piatetski-Shapiro prime number theorem",
  "title_text": "On a variant of the Piatetski-Shapiro prime number theorem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/ee0xj7yw43p07",
  "venue": "arXiv",
  "versions": []
}