{
  "id": "1703.08863",
  "version": "v1",
  "published": "2017-03-26T19:52:19.000Z",
  "updated": "2017-03-26T19:52:19.000Z",
  "title": "Rapid computation of $L$-functions attached to Maass forms",
  "authors": [
    "Andrew R. Booker",
    "Holger Then"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $L$ be a degree-$2$ $L$-function associated to a Maass cusp form. We explore an algorithm that evaluates $t$ values of $L$ on the critical line in time $O(t^{1+\\varepsilon})$. We use this algorithm to rigorously compute an abundance of consecutive zeros and investigate their distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-26T19:52:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maass forms",
      "rapid computation",
      "maass cusp form",
      "distribution",
      "consecutive zeros"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}