An inverse theorem for Gowers norms of trace functions over F-p

作者：Fouvry Etienne^*; Kowalski Emmanuel; Michel Philippe

来源：Mathematical Proceedings of the Cambridge Philosophical Society, 2013, 155(2): 277-295.

DOI：10.1017/S030500411300025X

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.

• 出版日期2013-9