We study the Gowers uniformity norms of functions over Z/pZ which are trace functions of l-adic sheaves. On the one hand, we establish a strong inverse theorem for these functions, and on the other hand this gives many explicit examples of functions with Gowers norms of size comparable to that of "random" functions.
Giancarlo Ferrari Trecate, Muhammad Zakwan, Liang Xu
Michaël Unser, Alexis Marie Frederic Goujon, Joaquim Gonçalves Garcia Barreto Campos
Michael Christoph Gastpar, Aditya Pradeep, Ido Nachum