{
  "id": "2303.08656",
  "version": "v1",
  "published": "2023-03-15T14:38:48.000Z",
  "updated": "2023-03-15T14:38:48.000Z",
  "title": "On the sharpness of the bound for the local converse theorem of p-adic GL_N, general N",
  "authors": [
    "Moshe Adrian"
  ],
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Let F be a non-archimedean local field of characteristic zero. In this paper we construct examples of supercuspidal representations showing that the bound $[N/2]$ for the local converse theorem of $GL_N(F)$ is sharp, N general, when the residual characteristic of $F$ is bigger than $N$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-15T14:38:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S70",
      "22E50"
    ],
    "keywords": [
      "local converse theorem",
      "non-archimedean local field",
      "residual characteristic",
      "characteristic zero",
      "construct examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}