Publication

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

Philippe Michel
2013
Journal paper

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.

Official source

https://infoscience.epfl.ch/record/189307?ln=en

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

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