{
  "id": "2107.06527",
  "version": "v1",
  "published": "2021-07-14T07:51:23.000Z",
  "updated": "2021-07-14T07:51:23.000Z",
  "title": "Exponential sums, twisted multiplicativity and moments",
  "authors": [
    "Emmanuel Kowalski",
    "Kannan Soundararajan"
  ],
  "comment": "26 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We study averages over squarefree moduli of the size of exponential sums with polynomial phases. We prove upper bounds on various moments of such sums, and obtain evidence of un-correlation of exponential sums associated to different suitably unrelated and generic polynomials. The proofs combine analytic arguments with the algebraic interpretation of exponential sums and their monodromy groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-14T07:51:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L03",
      "11T23",
      "11N37"
    ],
    "keywords": [
      "exponential sums",
      "twisted multiplicativity",
      "monodromy groups",
      "study averages",
      "algebraic interpretation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}