{
  "id": "1403.4709",
  "version": "v1",
  "published": "2014-03-19T07:02:57.000Z",
  "updated": "2014-03-19T07:02:57.000Z",
  "title": "Divisors of Fourier coefficients of modular forms",
  "authors": [
    "Sanoli Gun",
    "M. Ram Murty"
  ],
  "comment": "New York Journal of Mathematics, 2014",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $d(n)$ denote the number of divisors of $n$. In this paper, we study the average value of $d(a(p))$, where $p$ is a prime and $a(p)$ is the $p$-th Fourier coefficient of a normalized Hecke eigenform of weight $k \\ge 2$ for $\\Gamma_0(N)$ having rational integer Fourier coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-19T07:02:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F30",
      "11N37"
    ],
    "keywords": [
      "modular forms",
      "rational integer fourier coefficients",
      "th fourier coefficient",
      "average value",
      "normalized hecke eigenform"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.4709G"
    }
  }
}