JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 6, Pages 945 - 956
(December 2018) http://dx.doi.org/10.17654/NT040060945 |
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CONSECUTIVE SQUARE-FREE NUMBERS OF THE FORM [nc], [nc] + 1
S. I. Dimitrov
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Abstract: In the present paper we show that for any fixed 1 < c < 22/13 there exist infinitely many consecutive square-free numbers of the form [nc], [nc] + 1. |
Keywords and phrases: square-free numbers, asymptotic formula.
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