Xi, PingFouvry, EtienneKowalski, EmmanuelMichel, Philippe2017-10-092017-10-092017-10-09201710.1093/imrn/rnw074https://infoscience.epfl.ch/handle/20.500.14299/141299WOS:000407807200002The 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.text::journal::journal article::research article