{
  "id": "2406.10106",
  "version": "v1",
  "published": "2024-06-14T15:07:02.000Z",
  "updated": "2024-06-14T15:07:02.000Z",
  "title": "Equidistribution of Kloosterman sums over function fields",
  "authors": [
    "Lei Fu",
    "Yuk-Kam Lau",
    "Wen-Ching Winnie Li",
    "Ping Xi"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove the Sato--Tate distribution of Kloosterman sums over function fields with explicit error terms, when the places vary in arithmetic progressions or short intervals. A joint Sato--Tate distribution of two ``different\" exponential sums is also proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-14T15:07:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kloosterman sums",
      "function fields",
      "equidistribution",
      "joint sato-tate distribution",
      "explicit error terms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}