{
  "id": "1701.08436",
  "version": "v1",
  "published": "2017-01-29T21:39:11.000Z",
  "updated": "2017-01-29T21:39:11.000Z",
  "title": "Borcherds Products on Unitary Group $U(2,1)$",
  "authors": [
    "Tonghai Yang",
    "Dongxi Ye"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this note, we construct canonical bases for the spaces of weakly holomorphic modular forms with poles supported at the cusp $\\infty$ for $\\Gamma_{0}(4)$ of integral weight $k$ for $k\\leq-1$, and we make use of the basis elements for the case $k=-1$ to construct explicit Borcherds products on unitary group $U(2,1)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-29T21:39:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F27",
      "11F41",
      "11F55",
      "11G18",
      "14G35"
    ],
    "keywords": [
      "unitary group",
      "construct explicit borcherds products",
      "weakly holomorphic modular forms",
      "integral weight",
      "construct canonical bases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}