{
  "id": "2206.13331",
  "version": "v1",
  "published": "2022-06-27T14:26:15.000Z",
  "updated": "2022-06-27T14:26:15.000Z",
  "title": "Transformation formulas for the higher power of odd zeta values and generalized Eisenstein series",
  "authors": [
    "Soumyarup Banerjee",
    "Vijay Sahani"
  ],
  "comment": "11 Pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this article, we obtain a transformation formula for the higher power of odd zeta values, which generalizes Ramanujan's formula for odd zeta values. We have also investigated many important applications, which in turn provide generalizations of the transformation formula of the Eisenstein series, Dedekind eta function etc.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-27T14:26:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06",
      "11M36",
      "11F20"
    ],
    "keywords": [
      "odd zeta values",
      "transformation formula",
      "generalized eisenstein series",
      "higher power",
      "generalizes ramanujans formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}