On the Vinogradov mean value

Jean Bourgain

Type: Preprint

Publication Date: 2016-01-29

Citations: 9

Locations

arXiv (Cornell University) - View

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Works That Cite This (9)

Action	Title	Year	Authors
+ PDF Chat	Roth–Waring–Goldbach	2016	Sam Chow
+	On the asymptotic formula in Waring's problem with shifts	2016	Kirsti D. Biggs
+ PDF Chat	Additive equations in dense variables via truncated restriction estimates	2017	Kevin Henriot
+	Roth--Waring--Goldbach	2016	Sam Chow
+	On the ergodic Waring--Goldbach problem	2017	Theresa C. Anderson Brian Cook Kevin Hughes Angel Kumchev
+	Waring-Goldbach Problem with Piatetski-Shapiro Primes	2016	Yıldırım Akbal Ahmet M. Güloğlu
+	The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth]	2017	Lillian B. Pierce
+	Counterexamples for high-degree generalizations of the Schr\"odinger maximal operator	2021	Chen An Rena Chu Lillian B. Pierce
+	On mixing and sparse ergodic theorems	2016	Asaf Katz

Works Cited by This (13)

Action	Title	Year	Authors
+	Decoupling, exponential sums and the Riemann zeta function	2016	Jean Bourgain
+	The Method of Trigonometrical Sums in the Theory of Numbers	2004	Ivan Matveevich Vinogradov K. F. Roth Anne Ashley Davenport
+	Translation invariance, exponential sums, and Waring's problem	2014	Trevor D. Wooley
+	Decouplings for curves and hypersurfaces with nonzero Gaussian curvature	2014	Jean Bourgain Ciprian Demeter
+	THE MEAN VALUE OF THE MODULUS OF A TRIGONOMETRIC SUM	1973	A A Karacuba
+	Weyl's Inequality, Hua's Inequality, and Waring's Problem	1988	D. R. Heath‐Brown
+ PDF Chat	Near-Optimal Mean Value Estimates for Multidimensional Weyl Sums	2013	Scott T. Parsell Sean Prendiville Trevor D. Wooley
+ PDF Chat	Bounds on Oscillatory Integral Operators Based on Multilinear Estimates	2011	Jean Bourgain Larry Guth
+	The Asymptotic Formula in Waring’s Problem	2012	Trevor D. Wooley
+ PDF Chat	On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing	2014	Kevin Ford Trevor D. Wooley