{
  "id": "1602.03198",
  "version": "v1",
  "published": "2016-02-09T21:29:43.000Z",
  "updated": "2016-02-09T21:29:43.000Z",
  "title": "Harmonic-Number Summation Identities, Symmetric Functions, and Multiple Zeta Values",
  "authors": [
    "Michael E. Hoffman"
  ],
  "comment": "29 pp",
  "categories": [
    "math.NT"
  ],
  "abstract": "We show how infinite series of a certain type involving generalized harmonic numbers can be computed using a knowledge of symmetric functions and multiple zeta values. In particular, we prove and generalize some identities recently conjectured by J. Choi, and give several more families of identities of a similar nature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-09T21:29:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M32",
      "05A05",
      "11B85"
    ],
    "keywords": [
      "multiple zeta values",
      "harmonic-number summation identities",
      "symmetric functions",
      "infinite series",
      "generalized harmonic numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160203198H"
    }
  }
}