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

arxiv: 1702.00165 · v1 · pith:W2V4IVPXnew · submitted 2017-02-01 · 🧮 math.NT

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

Min Zhang , Jinjiang Li This is my paper

classification 🧮 math.NT

keywords formnumberscube--freecube-freedistributionfixedinfinitenumber

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

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