{
  "id": "1603.08230",
  "version": "v1",
  "published": "2016-03-27T15:42:23.000Z",
  "updated": "2016-03-27T15:42:23.000Z",
  "title": "The normal order of of the divisor-counting function for invariants of rank 2 Drinfeld modules",
  "authors": [
    "Abel Castillo"
  ],
  "comment": "20 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We compute the first and second moments of the divisor-counting function for the Euler-Poincar\\'{e} characteristic and the trace of Frobenius for the reductions modulo $p$ of a rank 2 Drinfeld module with nontrivial endomorphism ring, as the prime $p$ varies over the primes of ordinary reduction of the Drinfeld module. From these moments we derive the normal order of the number of prime divisors of these invariants.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-27T15:42:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "drinfeld module",
      "normal order",
      "divisor-counting function",
      "invariants",
      "ordinary reduction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160308230C"
    }
  }
}