{
  "id": "2211.15546",
  "version": "v1",
  "published": "2022-11-28T16:51:51.000Z",
  "updated": "2022-11-28T16:51:51.000Z",
  "title": "A conditional result on exponential sums over primes in short intervals",
  "authors": [
    "Chiara Bellotti",
    "Giuseppe Puglisi"
  ],
  "comment": "15 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "The aim of this work is to illustrate a conditional result involving the exponential sums over primes in short intervals under the assumption that both the Generalized Riemann Hypothesis and the Density Hypothesis for Dirichlet $L$-functions are true.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-28T16:51:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L07",
      "11L20",
      "11M06"
    ],
    "keywords": [
      "short intervals",
      "exponential sums",
      "conditional result",
      "generalized riemann hypothesis",
      "density hypothesis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}