{
  "id": "1201.2324",
  "version": "v1",
  "published": "2012-01-11T15:15:51.000Z",
  "updated": "2012-01-11T15:15:51.000Z",
  "title": "Perturbation of zeros of the Selberg zeta-function for $Γ_0(4)$",
  "authors": [
    "Roelof Bruggeman",
    "Markus Fraczek",
    "Dieter Mayer"
  ],
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "We study the asymptotic behavior of zeros of the Selberg zeta-function for the congruence subgroup $\\Gamma_0(4)$ as a function of a one-parameter family of characters tending to the trivial character. The motivation for the study comes from observations based on numerical computations. Some of the observed phenomena lead to precise theorems that we prove and compare with the original numerical results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-11T15:15:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M36",
      "11F72",
      "37C30"
    ],
    "keywords": [
      "selberg zeta-function",
      "perturbation",
      "original numerical results",
      "asymptotic behavior",
      "precise theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.2324B"
    }
  }
}