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research article
On the distribution of squarefree integers in arithmetic progressions
October 1, 2018
investigate the error term of the asymptotic formula for the number of squarefree integers up to some bound, and lying in some arithmetic progression a (mod q). In particular, we prove an upper bound for its variance as a varies over (Z/qZ)(x) which considerably improves upon earlier work of Blomer.
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Type
research article
Web of Science ID
WOS:000442995600018
Authors
Publication date
2018-10-01
Publisher
Published in
Volume
290
Issue
1-2
Start page
421
End page
429
Peer reviewed
REVIEWED
Available on Infoscience
December 13, 2018