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On the Distribution of Cube-Free Numbers with the Form $[n^c]$

Number Theory 2017-02-02 v1

Abstract

In this paper, we proved that there are infinite cube--free numbers of the form [nc][n^c] for any fixed real number 1<c<11/61<c<11/6.

Keywords

Cite

@article{arxiv.1702.00165,
  title  = {On the Distribution of Cube-Free Numbers with the Form $[n^c]$},
  author = {Min Zhang and Jinjiang Li},
  journal= {arXiv preprint arXiv:1702.00165},
  year   = {2017}
}

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11 pages