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Consecutive square-free numbers of a special form

Published 6 Feb 2017 in math.NT | (1702.03983v3)

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 $[nc], [nc]+1$ and we also establish an asymptotic formula in given interval.

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Authors (1)

  1. S. I. Dimitrov 

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