{
  "id": "math/0312394",
  "version": "v3",
  "published": "2003-12-22T19:09:57.000Z",
  "updated": "2006-05-23T23:34:29.000Z",
  "title": "Upper bound on the number of systems of Hecke eigenvalues for Siegel modular forms (mod p)",
  "authors": [
    "Alexandru Ghitza"
  ],
  "comment": "4 pages, amsart class; included reference to current work of G. Herrick; fixed a small error in the estimate of Corollary 2",
  "journal": "International Mathematics Research Notices, vol 2004 (2004), issue 55, pp. 2983-2987",
  "doi": "10.1155/S1073792804140269",
  "categories": [
    "math.NT"
  ],
  "abstract": "We derive an explicit upper bound for the number of systems of Hecke eigenvalues coming from Siegel modular forms (mod p) of dimension g and level N relatively prime to p. In the special case of elliptic modular forms (g=1), our result agrees with recent work of G. Herrick.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-05-23T23:34:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F46"
    ],
    "keywords": [
      "siegel modular forms",
      "hecke eigenvalues",
      "elliptic modular forms",
      "explicit upper bound",
      "special case"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12394G"
    }
  }
}