Some applications of smooth bilinear forms with Kloosterman sums
2017
Abstract
We revisit a recent bound of I. Shparlinski and T. Zhang on bilinear forms with Kloosterman sums, and prove an extension for correlation sums of Kloosterman sums against Fourier coefficients of modular forms. We use these bounds to improve on earlier results on sums of Kloosterman sums along the primes and on the error term of the fourth moment of Dirichlet L-functions.
Details
Title
Some applications of smooth bilinear forms with Kloosterman sums
Author(s)
Blomer, Valentin ; Fouvry, Etienne ; Kowalski, Emmanuel ; Michel, Philippe ; Milicevic, Djordje
Published in
Proceedings Of The Steklov Institute Of Mathematics
Pagination
12
Volume
296
Issue
1
Pages
18-29
Date
2017
Publisher
New York, Maik Nauka/Interperiodica/Springer
ISSN
0081-5438
Other identifier(s)
View record in Web of Science
Laboratories
TAN
Record Appears in
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 > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2017-05-30