{
  "id": "1201.4341",
  "version": "v1",
  "published": "2012-01-20T17:08:34.000Z",
  "updated": "2012-01-20T17:08:34.000Z",
  "title": "Congruences for Convolutions of Hilbert Modular Forms",
  "authors": [
    "Thomas Ward"
  ],
  "comment": "20 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $\\f$ be a primitive, cuspidal Hilbert modular form of parallel weight. We investigate the Rankin convolution $L$-values $L(\\f,\\g,s)$, where $\\g$ is a theta-lift modular form corresponding to a finite-order character. We prove weak forms of Kato's `false Tate curve' congruences for these values, of the form predicted by conjectures in non-commmutative Iwasawa theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-20T17:08:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "congruences",
      "cuspidal hilbert modular form",
      "false tate curve",
      "finite-order character",
      "parallel weight"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1017/S0305004112000229",
      "journal": "Mathematical Proceedings of the Cambridge Philosophical Society",
      "year": 2012,
      "month": "Nov",
      "volume": 153,
      "number": 3,
      "pages": 471
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012MPCPS.153..471W"
    }
  }
}