Author:
FOUVRY ÉTIENNE,KOWALSKI EMMANUEL,MICHEL PHILIPPE
Abstract
AbstractWe 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.
Publisher
Cambridge University Press (CUP)
Reference20 articles.
1. É. Fouvry , E. Kowalski and Ph. Michel Counting sheaves using spherical codes, preprint (2012); arXiv:1210.0851v2.
2. Gauss sums, Kloosterman sums and monodromy groups;Katz;Annals of Math. Studies,1988
3. Definable sets over finite fields;Chatzidakis;J. Reine Angew. Math.,1992
4. An inverse theorem for the Gowers U^(s+1)[N]-norm
5. É. Fouvry , E. Kowalski and Ph. Michel Algebraic trace functions over the primes, preprint (2012); arXiv:1211.6043v1.
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