Large sieve inequality with power moduli for function fields

Abstract

In this paper, we establish a general version of the large sieve with additive characters for restricted sets of moduli in arbitrary dimension for function fields. From this, we derive function field versions for the large sieve in high dimensions and for power moduli.

14 pages. The authors have detected an error in this article. A description of this error and a corrected version of the large sieve for square moduli in function fields is given in their article arXiv:1910.05043