{
  "id": "2505.09637",
  "version": "v1",
  "published": "2025-05-05T22:25:19.000Z",
  "updated": "2025-05-05T22:25:19.000Z",
  "title": "Explicit quadratic large sieve inequality",
  "authors": [
    "Zihao Liu"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this article, we obtain an explicit version of Heath-Brown's large sieve inequality for quadratic characters and discuss its applications to $L$-functions and quadratic fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-05T22:25:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L40"
    ],
    "keywords": [
      "explicit quadratic large sieve inequality",
      "heath-browns large sieve inequality",
      "explicit version",
      "quadratic characters",
      "quadratic fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}