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research article
The Shifted Convolution of Generalized Divisor Functions
December 1, 2018
We prove an asymptotic formula for the shifted convolution of the divisor functions d(k)(n) and d(n) with k >= 4, which is uniform in the shift parameter and which has a power saving error term, improving results obtained previously by Fouvry and Tenenbaum and, more recently, by Drappeau.
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Type
research article
Web of Science ID
WOS:000456064400007
Authors
Publication date
2018-12-01
Publisher
Published in
Issue
24
Start page
7681
End page
7724
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
January 31, 2019