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

Étienne Fouvry, Emmanuel Kowalski, Philippe Michel

Type: Preprint

Publication Date: 2012-01-01

Citations: 2

DOI: https://doi.org/10.48550/arxiv.1211.3282

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	An inverse theorem for Gowers norms of trace functions over F<sub><i>p</i></sub>	2013	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+	An Inverse Theorem for Certain Directional Gowers Uniformity Norms	2021	Luka Milićević
+	An Inverse Theorem for Certain Directional Gowers Uniformity Norms	2021	Luka Milićević
+	On the norm of the trace functions and applications	2013	Victor Alexandru Cosmin Constantin Nit Marián
+	A point of view on Gowers uniformity norms	2010	Bernard Host Bryna Kra
+ PDF Chat	A point of view on Gowers uniformity norms	2012	Bernard Host Bryna Kra
+	Quantitative bounds in the inverse theorem for the Gowers $U^{s+1}$-norms over cyclic groups	2018	Freddie Manners
+	Quantitative bounds in the inverse theorem for the Gowers $U^{s+1}$-norms over cyclic groups	2018	Freddie Manners
+ PDF Chat	Inverse theorem for certain directional Gowers uniformity norms	2023	Luka Milićević
+	The inverse conjecture for the Gowers norm over finite fields in low characteristic	2011	Terence Tao Tamar Ziegler
+ PDF Chat	Gowers norms of multiplicative functions in progressions on average	2017	Xuancheng Shao
+	The distribution of polynomials over finite fields, with applications to the Gowers norms	2007	Ben Green Terence Tao
+ PDF Chat	The Inverse Conjecture for the Gowers Norm over Finite Fields in Low Characteristic	2011	Terence Tao Tamar Ziegler
+	Pfaffian definitions of Weierstrass elliptic functions	2017	Gareth J. F. Jones Harry Schmidt
+	Pfaffian definitions of Weierstrass elliptic functions	2017	Gareth A. Jones Harry Schmidt
+	On the gowers norms of certain functions	2012	Ilya D. Shkredov
+	The distribution of polynomials over finite fields, with applications to the Gowers norms	2009	Ben Joseph Green Terence Tao
+	On $p$-divisibility of Fourier coefficients of Siegel modular forms	2022	Shōyū Nagaoka
+ PDF Chat	None	2011	Shachar Lovett Roy Meshulam Alex Samorodnitsky
+	Quantitative inverse theory of Gowers uniformity norms	2020	Thomas F. Bloom

Works That Cite This (2)

Action	Title	Year	Authors
+	The sliding-sum method for short exponential sums	2013	Étienne Fouvry Emmanuel Kowalski Ph. Michel
+ PDF Chat	New equidistribution estimates of Zhang type	2014	Wouter Castryck Étienne Fouvry Gergely Harcos Emmanuel Kowalski Philippe Michel Paul D. Nelson E. Paldi J. Pintz Andrew V. Sutherland Terence Tao

Works Cited by This (13)

Action	Title	Year	Authors
+	A finiteness theorem for Galois representations of function fields over finite fields (after Deligne)	2012	Hélène Esnault Moritz Kerz
+	The distribution of polynomials over finite fields, with applications to the Gowers norms	2007	Ben Green Terence Tao
+	Counting sheaves using spherical codes	2012	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+	GOWERS UNIFORMITY NORM AND PSEUDORANDOM MEASURES OF THE PSEUDORANDOM BINARY SEQUENCES	2011	Huaning Liu
+	La conjecture de Weil. I	1974	Pierre Deligne
+ PDF Chat	On the pseudorandomness of the signs of Kloosterman sums	2004	Étienne Fouvry Philippe Michel Joël Rivat Andràs Sárközy
+	An inverse theorem for the Gowers U^{s+1}[N]-norm	2010	Ben Green Terence Tao Tamar Ziegler
+	The inverse conjecture for the Gowers norm over finite fields in low characteristic	2011	Terence Tao Tamar Ziegler
+ PDF Chat	Algebraic trace functions over the primes	2014	Étienne Fouvry Emmanuel Kowalski Philippe Michel
+ PDF Chat	The inverse conjecture for the Gowers norm over finite fields via the correspondence principle	2010	Terence Tao Tamar Ziegler