{
  "id": "1701.08351",
  "version": "v1",
  "published": "2017-01-29T05:59:41.000Z",
  "updated": "2017-01-29T05:59:41.000Z",
  "title": "Distribution of prime ideals of higher residue degree across ideal classes in the class groups",
  "authors": [
    "Prem Prakash Pandey"
  ],
  "comment": "10 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this article we investigate the distribution of prime ideals of residue degree bigger than one across the ideal classes in the class group of a number field $L$. A criterion for the class group of $L$ being generated by the classes of prime ideals of residue degree $f>1$ is provided. Further, some consequences of this study on the solvability of norm equations for $L/\\mathbb{Q}$ and on the problem of finding annihilators for relative extensions are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-29T05:59:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R44"
    ],
    "keywords": [
      "class group",
      "prime ideals",
      "higher residue degree",
      "ideal classes",
      "distribution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}