{
  "id": "1801.01605",
  "version": "v1",
  "published": "2018-01-05T01:31:07.000Z",
  "updated": "2018-01-05T01:31:07.000Z",
  "title": "Distance between arithmetic progressions and perfect squares",
  "authors": [
    "Tsz Ho Chan"
  ],
  "comment": "An addendum is added in addition to the original paper to cover the range $N^2 d \\ll a \\ll N^2 d^2$",
  "journal": "T. H. Chan, Distance between arithmetic progressions and perfect squares, Mathematika 57 (2011), no. 1, 41-49",
  "doi": "10.1112/S002557931000166X",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we study how close the terms of a finite arithmetic progression can get to a perfect square. The answer depends on the initial term, the common difference and the number of terms in the arithmetic progression.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-05T01:31:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perfect square",
      "finite arithmetic progression",
      "initial term",
      "common difference"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}