{
  "id": "2006.03337",
  "version": "v1",
  "published": "2020-06-05T09:39:08.000Z",
  "updated": "2020-06-05T09:39:08.000Z",
  "title": "Explicit Mertens' Theorems for Number Fields I: Assuming the Generalized Riemann Hypothesis",
  "authors": [
    "Stephan Ramon Garcia",
    "Ethan Simpson Lee"
  ],
  "comment": "10 Pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Assuming the Generalized Riemann Hypothesis, we obtain effective number field analogues of Mertens' theorems (with explicit constants).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-05T09:39:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized riemann hypothesis",
      "explicit mertens",
      "effective number field analogues",
      "explicit constants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}