{
  "id": "math/0607414",
  "version": "v2",
  "published": "2006-07-18T08:14:48.000Z",
  "updated": "2006-07-19T21:18:45.000Z",
  "title": "On a Generalisation of a Lehmer Problem",
  "authors": [
    "Igor Shparlinski"
  ],
  "comment": "17 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We consider a generalisation of the classical Lehmer problem about the distribution of modular inverses in arithmetic progression, introduced by E. Alkan, F. Stan and A. Zaharescu. Using bounds of sums of multiplicative characters instead of traditionally applied to this kind of problem Kloosterman sums, we improve their results in several directions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-07-19T21:18:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A07",
      "11K38",
      "11L40"
    ],
    "keywords": [
      "generalisation",
      "problem kloosterman sums",
      "modular inverses",
      "arithmetic progression",
      "classical lehmer problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7414S"
    }
  }
}