{
  "id": "1410.7561",
  "version": "v1",
  "published": "2014-10-28T09:11:35.000Z",
  "updated": "2014-10-28T09:11:35.000Z",
  "title": "A Brun-Titchmarsh inequality for weighted sums over prime numbers",
  "authors": [
    "Jan Büthe"
  ],
  "comment": "11 pages, to appear in Acta Arithmetica",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove explicit upper bounds for weighted sums over prime numbers in arithmetic progressions with slowly varying weight functions. The results generalize the well-known Brun-Titchmarsh inequality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-28T09:11:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N36",
      "11N13"
    ],
    "keywords": [
      "prime numbers",
      "weighted sums",
      "well-known brun-titchmarsh inequality",
      "explicit upper bounds",
      "arithmetic progressions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.7561B"
    }
  }
}