{
  "id": "1607.03511",
  "version": "v1",
  "published": "2016-07-12T20:30:45.000Z",
  "updated": "2016-07-12T20:30:45.000Z",
  "title": "Construction of cusp forms using Rankin-Cohen brackets",
  "authors": [
    "Abhash Kumar Jha",
    "Arvind Kumar"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "For a fix modular form g and a non negative ineteger {\\nu}, by using Rankin-Cohen bracket we first define a linear map $T_{g,{\\nu}}$ on the space of modular forms. We explicitly compute the adjoint of this map and show that the n-th Fourier coefficients of the image of the cusp form f under this map is, upto a constant a special value of Rankin-Selberg convolution of f and g.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-12T20:30:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cusp form",
      "rankin-cohen bracket",
      "construction",
      "fix modular form",
      "n-th fourier coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}