{
  "abstract": "Let [x] denote the integer part of x ∈ R, and let ∥x∥ denote the distance from x to the nearest integer. In this paper we prove that, whenever α is irrational number and β is any real number, then for any fixed \\frac{47}{48}<γ <1, there exist infinitely many prime numbers p satisfying the inequality ∥αp^3 + β∥",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "name": "Stoyan Dimitrov"
    },
    {
      "name": "Meglena Lazarova"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b8thcggq7zzrr.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "b8thcggq7zzrr",
  "issns": [],
  "landing_url": "https://hal.science/hal-05089082v2",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05089082/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b8thcggq7zzrr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:40Z",
      "native_id": "hal-05089082",
      "source": "hal",
      "url": "https://hal.science/hal-05089082v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "On the distribution of αp³ modulo one over special primes",
  "title_text": "On the distribution of αp³ modulo one over special primes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:40Z",
  "url": "https://research.draconitic.com/paper/b8thcggq7zzrr",
  "venue": "HAL",
  "versions": []
}