{
  "id": "1707.01318",
  "version": "v1",
  "published": "2017-07-05T11:05:21.000Z",
  "updated": "2017-07-05T11:05:21.000Z",
  "title": "Congruences between Hilbert modular forms of weight $2$, and the Iwasawa $λ$-invariants",
  "authors": [
    "Yuichi Hirano"
  ],
  "comment": "36 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "The purpose of this paper is to prove the equality between the algebraic Iwasawa $\\lambda$-invariant and the analytic Iwasawa $\\lambda$-invariant for a Hilbert cusp form of parallel weight $2$ at an ordinary prime $p$ when the associated residual Galois representation is reducible. This is a generalization of a result of R. Greenberg and V. Vatsal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-05T11:05:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R23",
      "11F41"
    ],
    "keywords": [
      "hilbert modular forms",
      "congruences",
      "associated residual galois representation",
      "hilbert cusp form",
      "analytic iwasawa"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}