{
  "id": "1401.3727",
  "version": "v2",
  "published": "2014-01-15T20:22:33.000Z",
  "updated": "2014-02-03T10:13:38.000Z",
  "title": "Thue, Combinatorics on words, and conjectures inspired by the Thue-Morse sequence",
  "authors": [
    "Jean-Paul Allouche"
  ],
  "comment": "Proof of Shevelev's conjecture fixed",
  "categories": [
    "math.NT"
  ],
  "abstract": "Nous d\\'ecrivons quelques r\\'esultats r\\'ecents sur la suite de Thue-Morse, ainsi que des questions ou conjectures, dont l'une, due \\`a Shevelev, est r\\'esolue dans cet article. We describe some recent results on the Thue-Morse sequence. We also list open questions and conjectures, one of which is due to Shevelev and proved in this paper.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-03T10:13:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B85",
      "68R15"
    ],
    "keywords": [
      "thue-morse sequence",
      "conjectures",
      "decrivons quelques resultats recents sur",
      "combinatorics",
      "nous decrivons quelques resultats recents"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.3727A"
    }
  }
}