{
  "id": "2402.16425",
  "version": "v2",
  "published": "2024-02-26T09:23:49.000Z",
  "updated": "2024-12-10T19:48:58.000Z",
  "title": "The Bombieri-Vinogradov theorem for primes of the form $\\mathbf{p=x^2+y^2+1}$",
  "authors": [
    "S. I. Dimitrov"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we establish a Bombieri-Vinogradov type result for prime numbers of the form $p=x^2+y^2+1$. The proof is based on the enveloping sieve.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2024-12-10T19:48:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bombieri-vinogradov theorem",
      "bombieri-vinogradov type result",
      "prime numbers",
      "enveloping sieve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}