{
  "id": "1506.02847",
  "version": "v1",
  "published": "2015-06-09T10:11:27.000Z",
  "updated": "2015-06-09T10:11:27.000Z",
  "title": "Computation of $λ_{K/F}$-function, where $K/F$ is a finite Galois extension",
  "authors": [
    "Sazzad Ali Biswas"
  ],
  "comment": "34 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "By Langlands and Deligne we know that local constants are weakly extendible functions. Therefore to give explicit formula of local constant of an induced representation of a local Galois group of a non-archimedean local field $F$, we have to compute lambda function $\\lambda_{K/F}$ for a finite extension $K/F$. In this article, when a finite extension $K/F$ is Galois, we give explicit formula for $\\lambda_{K/F}$, except $K/F$ is wildly ramified quadratic extension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-09T10:11:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite galois extension",
      "finite extension",
      "explicit formula",
      "local constant",
      "computation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}