Back
Full-text
Journal article

A study in sums of products.

  • Fouvry É Université Paris Sud, Laboratoire de Mathématique, Campus d'Orsay, 91405 Orsay Cedex, France.
  • Kowalski E ETH Zürich - D-MATH, Rämistrasse 101, 8092 Zürich, Switzerland kowalski@math.ethz.ch.
  • Michel P EPFL/SB/IMB/TAN, Station 8, 1015 Lausanne, Switzerland.
  • 2015-03-25
Published in:
  • Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. - 2015
Riemann hypothesis over finite fields
exponential sums
monodromy
trace functions
ℓ-adic sheaves
English We give a general version of cancellation in exponential sums that arise as sums of products of trace functions satisfying a suitable independence condition related to the Goursat-Kolchin-Ribet criterion, in a form that is easily applicable in analytic number theory.
Language
  • English
Open access status
bronze
Identifiers
Persistent URL
https://folia.unifr.ch/global/documents/15692
Statistics
Document views: 39 File downloads:
  • Full-text: 0