{
  "id": "math/0608468",
  "version": "v1",
  "published": "2006-08-18T14:24:45.000Z",
  "updated": "2006-08-18T14:24:45.000Z",
  "title": "On the distribution of the order over residue classes",
  "authors": [
    "Pieter Moree"
  ],
  "comment": "8 pages, 1 table",
  "journal": "Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 121-128",
  "categories": [
    "math.NT"
  ],
  "abstract": "The multplicative order of an integer g modulo a prime p, with p coprime to g, is defined to be the smallest positive integer k such that g^k is congruent to 1 modulo p. For fixed integers g and d the distribution of this order over residue classes mod d is considered as p runs over the primes. An overview is given of the most significant of my results on this problem obtained (mainly) in the three part series of papers `On the distribution of the order and index of g (modulo p) over residue classes' I-III (appeared in the Journal of Number Theory, also available from the ArXiv).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-18T14:24:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N37",
      "11R45",
      "11N69"
    ],
    "keywords": [
      "distribution",
      "residue classes mod",
      "part series",
      "smallest positive integer",
      "number theory"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Electron. Res. Announc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8468M"
    }
  }
}