{
  "id": "2005.12571",
  "version": "v1",
  "published": "2020-05-26T08:40:41.000Z",
  "updated": "2020-05-26T08:40:41.000Z",
  "title": "An Euler-type formula for partitions of the Möbius strip",
  "authors": [
    "Pierre Bérard",
    "Bernard Helffer"
  ],
  "categories": [
    "math.GT",
    "math.DG",
    "math.SP"
  ],
  "abstract": "The purpose of this note is to prove an Euler-type formula for partitions of the M\\\"obius strip. This formula was introduced in our joint paper with R.~Kiwan, \"Courant-sharp property for Dirichlet eigenfunctions on the M\\\"obius strip\" (arXiv:2005.01175).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-26T08:40:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58C40",
      "49Q10"
    ],
    "keywords": [
      "euler-type formula",
      "möbius strip",
      "partitions",
      "joint paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}