{
  "id": "math/0701031",
  "version": "v2",
  "published": "2006-12-31T16:58:16.000Z",
  "updated": "2007-01-11T15:56:45.000Z",
  "title": "Rota-Baxter algebras and new combinatorial identities",
  "authors": [
    "Kurusch Ebrahimi-Fard",
    "Jose M. Gracia-Bondia",
    "Frederic Patras"
  ],
  "comment": "8 pages, improved version",
  "journal": "Letters in Mathematical Physics 81 (2007) 61-75",
  "doi": "10.1007/s11005-007-0168-9",
  "categories": [
    "math.CO",
    "hep-th",
    "math.RA"
  ],
  "abstract": "The word problem for an arbitrary associative Rota-Baxter algebra is solved. This leads to a noncommutative generalization of the classical Spitzer identities. Links to other combinatorial aspects, particularly of interest in physics, are indicated.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-01-11T15:56:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19",
      "16W30"
    ],
    "keywords": [
      "combinatorial identities",
      "arbitrary associative rota-baxter algebra",
      "word problem",
      "classical spitzer identities",
      "combinatorial aspects"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Letters in Mathematical Physics",
      "year": 2007,
      "month": "Jul",
      "volume": 81,
      "number": 1,
      "pages": 61
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 741808,
      "adsabs": "2007LMaPh..81...61K"
    }
  }
}