{
  "id": "1710.10693",
  "version": "v1",
  "published": "2017-10-29T21:11:17.000Z",
  "updated": "2017-10-29T21:11:17.000Z",
  "title": "Secondary Term of Asymptotic Distribution of $S_3\\times A$ Extensions over $\\mathbb{Q}$",
  "authors": [
    "Jiuya Wang"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We combine a sieve method together with good uniformity estimates to prove a secondary term for the asymptotic estimate of $S_3\\times A$ extensions over $\\mathbb{Q}$ when $A$ is an odd abelian group with minimal prime divisor greater than $5$. At the same time, we prove the existence of a power saving error when $A$ is any odd abelian group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-29T21:11:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R16",
      "11R29",
      "11R45"
    ],
    "keywords": [
      "secondary term",
      "asymptotic distribution",
      "odd abelian group",
      "extensions",
      "minimal prime divisor greater"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}