Consecutive square-free numbers of a special form

S. I. Dimitrov

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arXiv · 1702.03983

Consecutive square-free numbers of a special form

S. I. Dimitrov

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Abstract

In the present paper we prove that for any fixed $1<c<7/6$ there exist infinitely many consecutive square-free numbers of the form $[n^c], [n^c]+1$ and we also establish an asymptotic formula in given interval.

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S. I. Dimitrov. 2018-05-25. Consecutive square-free numbers of a special form. https://arxiv.org/abs/1702.03983

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