{
  "id": "2404.16003",
  "version": "v2",
  "published": "2024-04-24T17:30:37.000Z",
  "updated": "2024-12-23T15:14:04.000Z",
  "title": "Remarks on Landau-Siegel zeros",
  "authors": [
    "Debmalya Basak",
    "Jesse Thorner",
    "Alexandru Zaharescu"
  ],
  "comment": "7 pages. Referee comments incorporated",
  "categories": [
    "math.NT"
  ],
  "abstract": "For certain families of $L$-functions, we prove that if each $L$-function in the family has only real zeros in a fixed yet arbitrarily small neighborhood of $s=1$, then one may considerably improve upon the known results on Landau-Siegel zeros. Sarnak and the third author proved a similar result under much more restrictive hypotheses.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2024-12-23T15:14:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "landau-siegel zeros",
      "real zeros",
      "similar result",
      "arbitrarily small neighborhood",
      "third author"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}