{
  "id": "2411.13143",
  "version": "v1",
  "published": "2024-11-20T09:18:35.000Z",
  "updated": "2024-11-20T09:18:35.000Z",
  "title": "Eisenstein Series on Metaplectic Covers and Multiple Dirichlet Series",
  "authors": [
    "Yanze Chen"
  ],
  "comment": "42 pages",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "We computed the first Whittaker coefficient of an Eisenstein series on a global metaplectic group induced from the torus and related the result with a Weyl group multiple Dirichlet series attached to the (dual) root system of the group under a mild assumption on the root system and the degree of the metaplectic cover. This confirms a conjecture of Brubaker-Bump-Friedberg.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-20T09:18:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "metaplectic cover",
      "eisenstein series",
      "weyl group multiple dirichlet series",
      "root system",
      "global metaplectic group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}