{
  "id": "2110.01768",
  "version": "v2",
  "published": "2021-10-05T01:01:55.000Z",
  "updated": "2022-02-17T05:10:55.000Z",
  "title": "Global properties of a Hecke ring associated with the Heisenberg Lie algebra",
  "authors": [
    "Fumitake Hyodo"
  ],
  "comment": "12pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "This study concerns (not necessarily commutative) Hecke rings associated with certain algebras and describes a formal Dirichlet series with coefficients in the Hecke rings, which can be used to generalize Shimura's series. Considering the case of Heisenberg Lie algebra, an analog of the identity for Shimura's series derived employing the rationality theorem, presented by Hecke and Tamagawa, is established.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-02-17T05:10:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08",
      "20G25",
      "20G30",
      "11F03"
    ],
    "keywords": [
      "heisenberg lie algebra",
      "hecke ring",
      "global properties",
      "formal dirichlet series",
      "study concerns"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}