Publication

Large Sieve Inequalities for Algebraic Trace Functions

Philippe Michel, Ping Xi
2017
Journal Articles

Abstract

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.

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Large Sieve Inequalities for Algebraic Trace Functions

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