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arXiv · 1211.3282

An inverse theorem for Gowers norms of trace functions over prime fields

Étienne Fouvry·Emmanuel Kowalski·Philippe Michel
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Abstract

We prove estimates for the Gowers uniformity norms of functions over $\Zz/p\Zz$ which are trace functions of certain $\ell$-adic sheaves, and establish in particular a strong inverse theorem for these functions.

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Étienne Fouvry, Emmanuel Kowalski, Philippe Michel. 2013-02-10. An inverse theorem for Gowers norms of trace functions over prime fields. https://arxiv.org/abs/1211.3282

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