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arXiv:1211.3282 [math.NT]AbstractReferencesReviewsResources

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

Étienne Fouvry, Emmanuel Kowalski, Philippe Michel

Published 2012-11-14, updated 2013-02-10Version 3

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.

Comments: v3, 19 pages; update bibliography and correct some typos
Categories: math.NT
Subjects: 11B30, 11T23
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