{
  "id": "2410.05704",
  "version": "v1",
  "published": "2024-10-08T05:50:01.000Z",
  "updated": "2024-10-08T05:50:01.000Z",
  "title": "A large sieve inequality for characters to quadratic moduli",
  "authors": [
    "C. C. Corrigan"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this article, we establish a large sieve inequality for additive characters to moduli in the range of appropriate integer polynomials of degree two. As an application, we derive a weighted zero-density estimate for twists of $L$-functions associated to multiplicative characters with conductor of this form.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-08T05:50:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B57",
      "11L07",
      "11L15",
      "11L40",
      "11M26",
      "11N35"
    ],
    "keywords": [
      "large sieve inequality",
      "quadratic moduli",
      "appropriate integer polynomials",
      "weighted zero-density estimate",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}