Repository logo

Infoscience

  • English
  • French
Log In
Logo EPFL, École polytechnique fédérale de Lausanne

Infoscience

  • English
  • French
Log In
  1. Home
  2. Academic and Research Output
  3. Journal articles
  4. Algebraic Trace Functions Over The Primes
 
research article

Algebraic Trace Functions Over The Primes

Fouvry, Etienne
•
Kowalski, Emmanuel
•
Michel, Philippe  
2014
Duke Mathematical Journal

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.

  • Details
  • Metrics
Type
research article
DOI
10.1215/00127094-2690587
Web of Science ID

WOS:000337768800002

Author(s)
Fouvry, Etienne
Kowalski, Emmanuel
Michel, Philippe  
Date Issued

2014

Publisher

Duke Univ Press

Published in
Duke Mathematical Journal
Volume

163

Issue

9

Start page

1683

End page

1736

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
TAN  
Available on Infoscience
August 29, 2014
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/106436
Logo EPFL, École polytechnique fédérale de Lausanne
  • Contact
  • infoscience@epfl.ch

  • Follow us on Facebook
  • Follow us on Instagram
  • Follow us on LinkedIn
  • Follow us on X
  • Follow us on Youtube
AccessibilityLegal noticePrivacy policyCookie settingsEnd User AgreementGet helpFeedback

Infoscience is a service managed and provided by the Library and IT Services of EPFL. © EPFL, tous droits réservés