An inverse theorem for Gowers norms of trace functions over prime fields

Abstract

We prove estimates for the Gowers uniformity norms of functions over $\Zz/p\Zz$ which are trace functions of certain $\ell$-adic sheaves, and establish in particular a strong inverse theorem for these functions.

v3, 19 pages; update bibliography and correct some typos

References in corpus (2)

• A finiteness theorem for Galois representations of function fields over finite fields (after Deligne)
• Graphical Classification of Entangled Qutrits