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Abstract
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Let
be the set of square-free numbers in ascending order. We prove that the following
asymptotic on moments of gaps between square-free numbers
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is true for
. This improves
the previous best range
.
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Keywords
square-free numbers, gaps, moments
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Mathematical Subject Classification
Primary: 11N25
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Milestones
Received: 15 April 2023
Revised: 28 September 2023
Accepted: 12 October 2023
Published: 8 December 2023
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Publishers). |
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