{
  "id": "2001.08065",
  "version": "v1",
  "published": "2020-01-15T19:51:59.000Z",
  "updated": "2020-01-15T19:51:59.000Z",
  "title": "On Arithmetic Progressions of Powers in Cyclotomic Polynomials",
  "authors": [
    "Hung Viet Chu"
  ],
  "comment": "5 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We determine necessary conditions for when powers corresponding to positive/negative coefficients of $\\Phi_{n}$ are in arithmetic progression. When $n = pq$ for any primes $q>p>2$, our conditions are also sufficient.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-15T19:51:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B83",
      "11C08"
    ],
    "keywords": [
      "arithmetic progression",
      "cyclotomic polynomials",
      "determine necessary conditions",
      "positive/negative coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}