{
  "id": "math/0211259",
  "version": "v3",
  "published": "2002-11-17T15:25:10.000Z",
  "updated": "2004-04-19T18:03:42.000Z",
  "title": "On the distribution of the order and index of g(mod p) over residue classes",
  "authors": [
    "Pieter Moree"
  ],
  "comment": "30 pages, 2 tables. Updated references and some further small changes",
  "journal": "J. Number Theory 114 (2005), 238-271",
  "doi": "10.1016/j.jnt.2004.09.004",
  "categories": [
    "math.NT"
  ],
  "abstract": "For a fixed rational number g, not equal to -1,0 or 1 and integers a and d we consider the set of primes p for which the order of g(mod p) is congruent to a(mod d). For d=4 and d=3 it is shown that, under the Generalized Riemann Hypothesis, these sets have a natural density. Moreover, we explicitly compute this density. For d=4 this generalises earlier work by K. Chinen and L. Murata. The case d=3 was apparently not considered before.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2004-04-19T18:03:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N37",
      "11N69",
      "11R45"
    ],
    "keywords": [
      "residue classes",
      "distribution",
      "generalises earlier work",
      "fixed rational number",
      "generalized riemann hypothesis"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11259M"
    }
  }
}