English

Large sieve inequality with power moduli for function fields

Number Theory 2019-10-16 v2

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.

Cite

@article{arxiv.1802.03131,
  title  = {Large sieve inequality with power moduli for function fields},
  author = {Stephan Baier and Rajneesh Kumar Singh},
  journal= {arXiv preprint arXiv:1802.03131},
  year   = {2019}
}

Comments

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

R2 v1 2026-06-23T00:16:42.729Z