Publication

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

Philippe Michel
2013
Journal Articles

Abstract

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.

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

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