{
  "id": "1206.1881",
  "version": "v3",
  "published": "2012-06-08T21:28:24.000Z",
  "updated": "2013-06-29T20:12:46.000Z",
  "title": "On higher congruences between cusp forms and Eisenstein series",
  "authors": [
    "Bartosz Naskręcki"
  ],
  "comment": "20 pages",
  "journal": "Computations with Modular Forms, Contributions in Mathematical and Computational Sciences Volume 6, 2014, pp 257-277",
  "doi": "10.1007/978-3-319-03847-6_10",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we present several finite families of congruences between cusp forms and Eisenstein series of higher weights at powers of prime ideals. We formulate a conjecture which describes properties of the prime ideals and their relation to the weights. We check the validity of the conjecture on several numerical examples.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-06-29T20:12:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F11",
      "11F33"
    ],
    "keywords": [
      "cusp forms",
      "eisenstein series",
      "higher congruences",
      "prime ideals",
      "finite families"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.1881N"
    }
  }
}