{
  "id": "1812.06643",
  "version": "v1",
  "published": "2018-12-17T08:16:36.000Z",
  "updated": "2018-12-17T08:16:36.000Z",
  "title": "Many proofs that $\\sum_{n=1}^{\\infty} \\frac{1}{n^2} = \\frac{π^2}{6}$ can be found in the conformal invariance of planar Brownian motion",
  "authors": [
    "Greg Markowsky"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "A number of recent new proofs of Euler's celebrated identity are presented, all of which are probabilistic in nature and depend on the conformal invariance of planar Brownian motion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-17T08:16:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "planar brownian motion",
      "conformal invariance",
      "eulers celebrated identity",
      "probabilistic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}