{
  "id": "1508.01610",
  "version": "v1",
  "published": "2015-08-07T05:44:01.000Z",
  "updated": "2015-08-07T05:44:01.000Z",
  "title": "Sturm bounds for Siegel modular forms of degree 2 and odd weights",
  "authors": [
    "Toshiyuki Kikuta",
    "Sho Takemori"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We correct the proof of the theorem in the previous paper presented by the first named author, which concerns Sturm bounds for Siegel modular forms of degree $2$ and of even weights modulo a prime number dividing $2\\cdot 3$. We give also Sturm bounds for them of odd weights for any prime numbers, and we prove their sharpness. The results cover the case where Fourier coefficients are algebraic numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-07T05:44:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "siegel modular forms",
      "odd weights",
      "prime number",
      "concerns sturm bounds",
      "fourier coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150801610K"
    }
  }
}