{
  "id": "1012.3429",
  "version": "v2",
  "published": "2010-12-15T19:22:45.000Z",
  "updated": "2011-04-05T15:32:59.000Z",
  "title": "The iterated integrals of ln(1 + x^2)",
  "authors": [
    "Tewodros Amdeberhan",
    "Christoph Koutschan",
    "Victor H. Moll",
    "Eric S. Rowland"
  ],
  "comment": "21 pages, 1 figure; publication version",
  "journal": "International Journal of Number Theory 8 (2012) 71-94",
  "doi": "10.1142/S1793042112500042",
  "categories": [
    "math.NT"
  ],
  "abstract": "For a polynomial P, we consider the sequence of iterated integrals of ln P(x). This sequence is expressed in terms of the zeros of P(x). In the special case of ln(1 + x^2), arithmetic properties of certain coefficients arising are described. Similar observations are made for ln(1 + x^3).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-05T15:32:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A09",
      "11A25"
    ],
    "keywords": [
      "iterated integrals",
      "similar observations",
      "arithmetic properties",
      "special case"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.3429A"
    }
  }
}