{
  "id": "2501.06622",
  "version": "v1",
  "published": "2025-01-11T19:05:04.000Z",
  "updated": "2025-01-11T19:05:04.000Z",
  "title": "On the representation of integer as sum of a square-free number and a prime of special type",
  "authors": [
    "T. L. Todorova"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that there are infinitely many integers, which can represent as sum of a square-free integer and a prime $p$ with $||\\alpha p+\\beta||<p^{-1/10}$, where $\\alpha$ is irrational.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-01-11T19:05:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P32",
      "11J71",
      "11P32"
    ],
    "keywords": [
      "square-free number",
      "special type",
      "representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}