Recent Issues |
|
Volume 14, Issue 3
|
|
Volume 14, Issue 2
|
|
Volume 14, Issue 1
|
|
Volume 13, Issue 4
|
|
Volume 13, Issue 3
|
|
Volume 13, Issue 2
|
|
Volume 13, Issue 1
|
|
Volume 12, Issue 4
|
|
Volume 12, Issue 3
|
|
Volume 12, Issue 2
|
|
Volume 12, Issue 1
|
|
Volume 11, Issue 4
|
|
Volume 11, Issue 3
|
|
Volume 11, Issue 2
|
|
Volume 11, Issue 1
|
|
Volume 10, Issue 4
|
|
Volume 10, Issue 3
|
|
Volume 10, Issue 2
|
|
Volume 10, Issue 1
|
|
Volume 9, Issue 4
|
|
Volume 9, Issue 3
|
|
Volume 9, Issue 2
|
|
Volume 9, Issue 1
|
|
Volume 8, Issue 4
|
|
Volume 8, Issue 3
|
|
Volume 8, Issue 2
|
|
Volume 8, Issue 1
|
|
Older Issues |
|
Volume 7, Issue 4
|
|
Volume 7, Issue 3
|
|
Volume 7, Issue 2
|
|
Volume 7, Issue 1
|
|
Volume 6, Issue 4
|
|
Volume 6, Issue 2-3
|
|
Volume 6, Issue 1
|
|
Volume 5, Issue 4
|
|
Volume 5, Issue 3
|
|
Volume 5, Issue 1-2
|
|
Volume 4, Issue 4
|
|
Volume 4, Issue 3
|
|
Volume 4, Issue 2
|
|
Volume 4, Issue 1
|
|
Volume 3, Issue 3-4
|
|
Volume 3, Issue 2
|
|
Volume 3, Issue 1
|
|
Volume 2, Issue 4
|
|
Volume 2, Issue 3
|
|
Volume 2, Issue 2
|
|
Volume 2, Issue 1
|
|
Volume 1, Issue 4
|
|
Volume 1, Issue 3
|
|
Volume 1, Issue 2
|
|
Volume 1, Issue 1
|
|
|
Abstract
|
|
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
|
|
is true for
. This improves
the previous best range
.
|
Keywords
square-free numbers, gaps, moments
|
Mathematical Subject Classification
Primary: 11N25
|
Milestones
Received: 15 April 2023
Revised: 28 September 2023
Accepted: 12 October 2023
Published: 8 December 2023
|
| © 2023 MSP (Mathematical Sciences
Publishers). |
|
