Exponential sum estimates over a subgroup in an arbitrary finite field

Jean Bourgain, A. Glibichuk

Type: Article

Publication Date: 2011-06-01

Citations: 29

DOI: https://doi.org/10.1007/s11854-011-0023-x

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Locations

Journal d Analyse Mathématique - View

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Works That Cite This (28)

Action	Title	Year	Authors
+ PDF Chat	Sums of inverses in thin sets of finite fields	2017	Igor E. Shparlinski Ana Zumalacárregui
+	Exponential sum estimates over prime fields	2018	Doowon Koh Mozhgan Mirzaei Thang Pham Chun‐Yen Shen
+	Breaking the k 2 Barrier for Explicit RIP Matrices (Extended Abstract)	2011	Jean Bourgain S. J. Dilworth Kevin Ford Sergeĭ Konyagin Denka Kutzarova
+ PDF Chat	Explicit RIP matrices: an update	2022	Kevin Ford D. Kutzarova George Shakan
+	Average results on the order of a modulo p	2016	Sungjin Kim
+ PDF Chat	Paley-like graphs over finite fields from vector spaces	2023	Lucas Reis
+	Breaking the k <sup>2</sup> barrier for explicit RIP matrices	2011	Jean Bourgain S. J. Dilworth Kevin Ford Sergeĭ Konyagin Denka Kutzarova
+	Average estimate for additive energy in prime field	2011	A. Glibichuk
+	Double and triple character sums and gaps between the elements of subgroups of finite fields	2024	Jiankang Wang Zhefeng Xu
+ PDF Chat	Explicit constructions of RIP matrices and related problems	2011	Jean Bourgain S. J. Dilworth Kevin Ford Sergeĭ Konyagin Denka Kutzarova

Works Cited by This (10)

Action	Title	Year	Authors
+	Sums of Finite Sets	1996	Imre Z. Ruzsa
+	Garaev's Inequality in finite fields not of prime order	2007	Nets Hawk Katz Chun‐Yen Shen
+	On a variant of sum-product estimates and explicit exponential sum bounds in prime fields	2008	Jean Bourgain M. Z. Garaev
+	An Application of Graph Theory to Additive Number Theory	1985	Noga Alon P. Erdős
+	On a question of Erdős and Moser	2005	Benny Sudakov Endre Szemerédi Van H. Vu
+	Sums and products of sets and estimates of rational trigonometric sums in fields of prime order	2010	Мубарис Зафар оглы Гараев
+	Multilinear Exponential Sums in Prime Fields Under Optimal Entropy Condition on the Sources	2009	Jean Bourgain
+ PDF Chat	A Quantified Version of Bourgain's Sum-Product Estimate in ${\Bbb F}_p$ for Subsets of Incomparable Sizes	2008	M. Z. Garaev
+ PDF Chat	Суммы и произведения множеств и оценки рациональных тригонометрических сумм в полях простого порядка	2010	Мубарис Зафар оглы Гараев Мубарис Зафар оглы Гараев
+	Additive Combinatorics	2006	Terence Tao Van H. Vu