Estimates on polynomial exponential sums

Jean Bourgain

Type: Article

Publication Date: 2010-03-01

Citations: 14

DOI: https://doi.org/10.1007/s11856-010-0027-8

Similar Works

Action	Title	Year	Authors
+ PDF Chat	A lower estimate for exponential sums	1974	Carlos A. Berenstein M. A. Dostál
+ PDF Chat	Bounds for exponential sums	1984	Wolfgang Schmidt
+	Bounds for exponential sums	1957	L. Carlitz Saburoô Uchiyama
+	Estimates for exponential sums. Applications	2012	V. I. Danchenko A. E. Dodonov
+	$\ell^p$-improving estimates for discrete polynomial averages via bounds for exponential sums	2019	Rui Han Vjekoslav Kovač Michael T. Lacey Fan Yang
+	Sums of exponentials with polynomial coefficients	1990	Clyde F. Martin J. David Miller Kent Pearce
+ PDF Chat	A note on exponential sums	1969	L. Carlitz
+	A Note on Exponential Sums	1995	Nicholas M. Katz
+	Bounded exponential sums	1990	Emmanuel Lesigne Karl Petersen
+	Bounds for exponential sums modulo p 2	2007	Yu. V. Malykhin
+	A lower bound for restricted exponential sums	2022	М. А. Комаров
+ PDF Chat	Estimates for exponential sums	1980	Robert A. Smith
+	A Bombieri-type theorem for exponential sums	2013	Wei Yao
+ PDF Chat	A zero estimate for exponential polynomials	1996	Mamoru Takeuchi
+	Exponential Sums in Many Variables	1962	H. Davenport D. J. Lewis
+ PDF Chat	A note on exponential sums.	1978	L. Carlitz
+	An explicit estimate of exponential sums associated with a cubic polynomial	1995	Kamel Ariffin Mohd Atan
+	Studies in exponential polynomials	1961	Arne Nordlander
+	Exponential Sums	2011
+	Exponential sums	2016	David Masser

Action	Title	Year	Authors
+ PDF Chat	The Distribution of Rational Numbers on Cantor’s Middle Thirds Set	2020	Alexander Rahm Noam Solomon Tara Trauthwein Barak Weiss
+	OPEN PROBLEMS ON EXPONENTIAL AND CHARACTER SUMS	2009	Igor E. Shparlinski
+ PDF Chat	Twisted exponential sums over points of elliptic curves	2011	Alina Ostafe Igor E. Shparlinski
+	Modular hyperbolas	2012	Igor E. Shparlinski
+ PDF Chat	On character sums and exponential sums over generalized arithmetic progressions	2013	Xuancheng Shao
+	Generalized polynomial exponential sums and their fourth power mean	2023	Li Wang Yuanyuan Meng
+	The Thirties	2011	Władysław Narkiewicz
+ PDF Chat	Multiplicative Energy of Shifted Subgroups and Bounds On Exponential Sums with Trinomials in Finite Fields	2017	Simon Macourt Ilya D. Shkredov Igor E. Shparlinski
+ PDF Chat	Multilinear exponential sums with a general class of weights	2021	Bryce Kerr Simon Macourt
+ PDF Chat	The distribution of rational numbers on Cantor's middle thirds set	2010	Alexander Rahm Noam Solomon Tara Trauthwein Barak Weiss

Action	Title	Year	Authors
+ PDF Chat	Carmichael's lambda function	1991	P. Erdős Carl Pomerance Eric Schmutz
+	On exponential sums	1997	Ricardo Garcı́a López
+	Mordell’s exponential sum estimate revisited	2005	Jean Bourgain
+	On upper bounds of Chalk and Hua for exponential sums	2001	Todd Cochrane Zhiyong Zheng
+	ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER	2006	Jean Bourgain A. A. Glibichuk Sergeĭ Konyagin
+	Multilinear Exponential Sums in Prime Fields Under Optimal Entropy Condition on the Sources	2009	Jean Bourgain
+ PDF Chat	Sparse polynomial exponential sums	2003	Todd Cochrane Christopher Pinner Jason Rosenhouse
+	On Exponential Sums with Sparse Polynomials and Rational Functions	1996	Igor E. Shparlinski
+	Estimate of a complete rational trigonometric sum	1975	V. I. Nechaev
+	Some remarks on Gauss sums associated with kth powers	1995	Hugh L. Montgomery R. C. Vaughan Trevor D. Wooley