{
  "id": "math/0512228",
  "version": "v1",
  "published": "2005-12-12T01:41:20.000Z",
  "updated": "2005-12-12T01:41:20.000Z",
  "title": "On the large sieve with sparse sets of moduli",
  "authors": [
    "Stephan Baier"
  ],
  "comment": "20 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Extending a method of D. Wolke, we establish a general result on the large sieve with sparse sets S of moduli which are in a sense well-distributed in arithmetic progressions. We then use this result together with Fourier techniques to obtain large sieve bounds for the case when S consists of squares. These bounds improve a recent result by L. Zhao.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-12T01:41:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N35",
      "11L07",
      "11B57"
    ],
    "keywords": [
      "sparse sets",
      "large sieve bounds",
      "arithmetic progressions",
      "fourier techniques",
      "general result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12228B"
    }
  }
}