An inverse theorem for Gowers norms of trace functions over prime fields
Number Theory
2013-02-12 v3
Abstract
We prove estimates for the Gowers uniformity norms of functions over which are trace functions of certain -adic sheaves, and establish in particular a strong inverse theorem for these functions.
Keywords
Cite
@article{arxiv.1211.3282,
title = {An inverse theorem for Gowers norms of trace functions over prime fields},
author = {Étienne Fouvry and Emmanuel Kowalski and Philippe Michel},
journal= {arXiv preprint arXiv:1211.3282},
year = {2013}
}
Comments
v3, 19 pages; update bibliography and correct some typos