{
  "id": "1710.00914",
  "version": "v1",
  "published": "2017-10-02T21:22:22.000Z",
  "updated": "2017-10-02T21:22:22.000Z",
  "title": "Kloosterman sums and Fourier coefficients of Eisenstein series",
  "authors": [
    "Eren Mehmet Kiral",
    "Matthew P. Young"
  ],
  "comment": "This material originally appeared in the first version of our preprint arXiv:1701.07507, The fifth moment of modular $L$-functions",
  "categories": [
    "math.NT"
  ],
  "abstract": "We derive explicit formulas for some Kloosterman sums on $\\Gamma_0(N)$, and for the Fourier coefficients of Eisenstein series attached to arbitrary cusps, around a general Atkin-Lehner cusp.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-02T21:22:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fourier coefficients",
      "eisenstein series",
      "kloosterman sums",
      "general atkin-lehner cusp",
      "derive explicit formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}