{
  "id": "1709.10023",
  "version": "v1",
  "published": "2017-09-28T15:34:12.000Z",
  "updated": "2017-09-28T15:34:12.000Z",
  "title": "Zagier duality for level $p$ weakly holomorphic modular forms",
  "authors": [
    "Paul Jenkins",
    "Grant Molnar"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove Zagier duality between the Fourier coefficients of canonical bases for spaces of weakly holomorphic modular forms of prime level $p$ with $11 \\leq p \\leq 37$ with poles only at the cusp at $\\infty$, and special cases of duality for an infinite class of prime levels. We derive generating functions for the bases for genus 1 levels.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-28T15:34:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F30",
      "11F37"
    ],
    "keywords": [
      "weakly holomorphic modular forms",
      "zagier duality",
      "prime level",
      "fourier coefficients",
      "special cases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}