We study the Gowers uniformity norms of functions over Z/p Z which are trace functions of ?-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.
展开▼
机译：我们研究了Z / p Z上函数的Gowers均匀性范式，它们是α-adic滑轮的跟踪函数。一方面，我们为这些函数建立了一个强大的逆定理，另一方面，这给出了许多显式的函数示例，这些函数的大小与随机函数的Gowers范数相当。
展开▼
