{
  "id": "0805.2867",
  "version": "v1",
  "published": "2008-05-19T14:13:35.000Z",
  "updated": "2008-05-19T14:13:35.000Z",
  "title": "Diophantine approximation with arithmetic functions, I",
  "authors": [
    "Emre Alkan",
    "Kevin Ford",
    "Alexandru Zaharescu"
  ],
  "comment": "15 pages. To appear in Trans. Amer. Math. Soc",
  "journal": "Trans. Amer. Math. Soc. 361 (2009), 2263-2275.",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove a strong simultaneous Diophantine approximation theorem for values of additive and multiplicative functions provided that the functions have certain regularity on the primes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-19T14:13:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N64",
      "11N36",
      "11K60"
    ],
    "keywords": [
      "arithmetic functions",
      "strong simultaneous diophantine approximation theorem",
      "multiplicative functions",
      "regularity"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Trans. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.2867A"
    }
  }
}