{
  "id": "math/0602116",
  "version": "v4",
  "published": "2006-02-07T01:52:33.000Z",
  "updated": "2006-10-09T11:51:24.000Z",
  "title": "Bombieri-Vinogradov Type Theorem for Sparse Sets of Moduli",
  "authors": [
    "Stephan Baier",
    "Liangyi Zhao"
  ],
  "comment": "11 Pages",
  "journal": "Acta Arith., Vol. 125, No. 2, 2006, pp. 187-201.",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we establish theorems of Bombieri-Vinogradov type and Barban-Davenport-Halberstam type for sparse sets of moduli. As an application, we prove that there exist infinitely many primes of the form $p=am^2+1$ such that $a\\leq p^{5/9+\\epsilon}$.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2006-10-09T11:51:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B25",
      "11L20",
      "11L40",
      "11N05",
      "11N14",
      "11N32",
      "11N35",
      "11N36"
    ],
    "keywords": [
      "bombieri-vinogradov type theorem",
      "sparse sets",
      "barban-davenport-halberstam type",
      "establish theorems"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.4064/aa125-2-5",
      "journal": "Acta Arithmetica",
      "year": 2006,
      "volume": 125,
      "number": 2,
      "pages": 187
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006AcAri.125..187B"
    }
  }
}