{
  "id": "2007.15482",
  "version": "v1",
  "published": "2020-07-30T14:21:49.000Z",
  "updated": "2020-07-30T14:21:49.000Z",
  "title": "Exponential sums in prime fields for modular forms",
  "authors": [
    "Jitendra Bajpai",
    "Subham Bhakta",
    "Victor C. Garcia"
  ],
  "comment": "32 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "The main objective of this article is to study the exponential sums associated to Fourier coefficients of modular forms supported at numbers having a fixed set of prime factors. This is achieved by establishing an improvement on Shparlinski's bound for exponential sums attached to certain recurrence sequences over finite fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-30T14:21:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F30",
      "11L07",
      "11P05",
      "11B37",
      "11F80"
    ],
    "keywords": [
      "exponential sums",
      "modular forms",
      "prime fields",
      "recurrence sequences",
      "shparlinskis bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}