Exponential sums over definable subsets of finite fields

Emmanuel Kowalski

Type: Article

Publication Date: 2007-08-01

Citations: 8

DOI: https://doi.org/10.1007/s11856-007-0062-2

View Publication

Download PDF

Locations

Israel Journal of Mathematics - View
arXiv (Cornell University) - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View

Similar Works

Action	Title	Year	Authors
+	Exponential sums over definable subsets of finite fields	2005	Emmanuel Kowalski
+	Exponential sum estimates in finite commutative rings and applications	2007	Jean Bourgain
+	Exponential Sums	1994	Rudolf Lidl Harald Niederreiter
+	$p$-adic estimates for multiplicative character sums	2011	Alan Adolphson Steven Sperber
+	Exponential sums over primes in short intervals	1986	Antal Balog Alberto Perelli
+	Exponential sums over primes in short intervals	2006	Jianya Liu Guangshi Lü Tao Zhan
+	Exponential Sums	2020	Olivier Bordellès
+	On product sets of arithmetic progressions	2022	Max Wenqiang Xu Yunkun Zhou
+	Exponential Sums in Several Variables Over Finite Fields	2000	Óscar Moreno Francis N. Castro Alberto Cáceres
+	Sum-product formulae	2016	Andrew Granville József Solymosi
+	The sliding-sum method for short exponential sums	2013	Étienne Fouvry Emmanuel Kowalski Ph. Michel
+	Exponential Sums	1996	Rudolf Lidl Harald Niederreiter
+	Exponential sums over cubes of primes in short intervals and its applications	2021	Taiyu Li Yanjun Yao
+	Exponential sums over finite fields	1985	Harald Niederreiter
+	Exponential Sums over Finite Fields	2021	Daqing Wan
+	Exponential sums over lifts of points	2004	Régis Blache
+	Estimates on polynomial exponential sums	2010	Jean Bourgain
+	Exponential sum estimates over a subgroup in an arbitrary finite field	2011	Jean Bourgain A. Glibichuk
+	Density of algebraic points on Noetherian varieties	2017	Gal Binyamini
+	Definable completeness of $P$-minimal fields and applications	2020	Pablo Cubides Kovacsics Françoise Delon

Works That Cite This (6)

Action	Title	Year	Authors
+	Proof of the Cluckers–Veys Conjecture on Exponential Sums for Polynomials With Log-Canonical Threshold at Most a Half	2019	Saskia Chambille Kien Huu Nguyen
+ PDF Chat	Some additive combinatorics problems in matrix rings	2010	Ron Ferguson Corneliu Hoffman Florian Luca Alina Ostafe Igor E. Shparlinski
+ PDF Chat	The large sieve and random walks on left cosets of arithmetic groups	2010	Florent Jouve
+ PDF Chat	A survey of algebraic exponential sums and some applications	2011	Emmanuel Kowalski
+ PDF Chat	Exponential Sums Over Finite Fields and the Large Sieve	2018	Corentin Perret-Gentil
+ PDF Chat	Three-term polynomial progressions in subsets of finite fields	2018	Sarah Peluse

Works Cited by This (13)

Action	Title	Year	Authors
+ PDF Chat	Exponential sums in pseudofinite fields and applications	2004	Ivan Tomašić
+	A shorter model theory	1997	Wilfrid Hodges
+	Definable sets over finite fields.	1992	Zoé Chatzidakis Lou van den Dries Angus Macintyre
+	Sums of Betti Numbers in Arbitrary Characteristic	2001	Nicholas M. Katz
+	Effective counting of the points of definable sets over finite fields	1994	Michael D. Fried Dan Haran Moshe Jarden
+ PDF Chat	Transformation De Fourier Et Majoration De Sommes Exponentielles	1985	Nicholas M. Katz Gérard Laumon
+ PDF Chat	Exponential sums over finite fields and differential equations over the complex numbers: Some interactions	1990	Nicholas M. Katz
+	La conjecture de Weil. I	1974	Pierre Deligne
+ PDF Chat	A Weil theorem for singular curves	2012	Yves Aubry Marc Perret
+ PDF Chat	A general stratification theorem for exponential sums, and applications	2001	Étienne Fouvry Nicholas M. Katz