{
  "id": "2205.06001",
  "version": "v1",
  "published": "2022-05-12T10:23:49.000Z",
  "updated": "2022-05-12T10:23:49.000Z",
  "title": "On the solution of the Volterra integral equation of second type for the error term in an asymptotic formula for arithmetical functions",
  "authors": [
    "Hideto Iwata"
  ],
  "comment": "10 pages",
  "journal": "Adv. Studies : Euro-Tbilisi Math.J. 15(1) : 83-92(March 2022)",
  "categories": [
    "math.NT",
    "math.CA"
  ],
  "abstract": "This paper, we first consider the pair of complex-valued arithmetical functions (a(n),b(n)) satisfying. We prove that the solution of the Volterra integral equation of second type for the error term in the asymptotic formula for b(n) can be obtained when a(n) satisfies some special condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-12T10:23:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "G.0"
    ],
    "keywords": [
      "volterra integral equation",
      "second type",
      "error term",
      "asymptotic formula",
      "special condition"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}