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An inverse theorem for Gowers norms of trace functions over Fp
Published online by Cambridge University Press: 25 April 2013
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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 155 , Issue 2 , September 2013 , pp. 277 - 295
- Copyright
- Copyright © Cambridge Philosophical Society 2013
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