Abstract
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.
Details
Title
On the distribution of squarefree integers in arithmetic progressions
Author(s)
Le Boudec, Pierre
Published in
Mathematische Zeitschrift
Volume
290
Issue
1-2
Pages
421-429
Date
2018-10-01
Publisher
Heidelberg, SPRINGER HEIDELBERG
ISSN
0025-5874
1432-1823
1432-1823
Other identifier(s)
View record in Web of Science
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > SB Archives > MATHGEOM - Mathematics Institute for Geometry and Applications
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > TAN - Chair of analytic number theory
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > TAN - Chair of analytic number theory
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2018-12-13