An inverse theorem for Gowers norms of trace functions over prime fields
classification
🧮 math.NT
keywords
functionsgowersinversenormstheoremtraceadiccertain
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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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