{
  "id": "2309.02948",
  "version": "v1",
  "published": "2023-09-06T12:32:25.000Z",
  "updated": "2023-09-06T12:32:25.000Z",
  "title": "Character sums over elements of extensions of finite fields with restricted coordinates",
  "authors": [
    "Siddharth Iyer",
    "Igor Shparlinski"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We obtain nontrivial bounds for character sums with multiplicative and additive characters over finite fields over elements with restricted coordinate expansion. In particular, we obtain a nontrivial estimate for such a sum over a finite field analogue of the Cantor set. \\",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-06T12:32:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "character sums",
      "extensions",
      "finite field analogue",
      "nontrivial bounds",
      "cantor set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}