## Large Sieve Inequalities for Algebraic Trace Functions

The large sieve inequalities for algebraic trace functions are considered in this article. A fundamental iterative relation is established by classical Fourier analysis, and l-adic Fourier analysis and multiplicative convolutions of sheaves are also required to guarantee the iterations, from which some large sieve inequalities are established for general (non-Kummer type) trace functions.

Published in:
International Mathematics Research Notices, 16, 4840-4881
Year:
2017
Publisher:
Oxford, Oxford Univ Press
ISSN:
1073-7928
Laboratories: