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research article
Algebraic Trace Functions Over The Primes
We study sums over primes of trace functions of l-adic sheaves. Using an extension of our earlier results on algebraic twists of modular forms to the case of Eisenstein series and bounds for Type II sums based on similar applications of the Riemann hypothesis over finite fields, we prove general estimates with power saving for such sums. We then derive various concrete applications.
Type
research article
Web of Science ID
WOS:000337768800002
Authors
Publication date
2014
Publisher
Published in
Volume
163
Issue
9
Start page
1683
End page
1736
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
August 29, 2014
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