{
  "id": "2101.06357",
  "version": "v1",
  "published": "2021-01-16T03:14:33.000Z",
  "updated": "2021-01-16T03:14:33.000Z",
  "title": "Periods of Hilbert Modular forms, Kronecker series and Cohomology",
  "authors": [
    "YoungJu Choie"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Generalizing a result of \\cite{Z1991, CPZ} about elliptic modular forms, we give a closed formula for the sum of all Hilbert Hecke eigenforms over a totally real number field with strict class number $1$, multiplied by their period polynomials, as a single product of the Kronecker series.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-16T03:14:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F41",
      "11F50",
      "11F60",
      "11F67"
    ],
    "keywords": [
      "hilbert modular forms",
      "kronecker series",
      "cohomology",
      "strict class number",
      "hilbert hecke eigenforms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}