Finite field restriction estimates for the paraboloid in high even dimensions

Alex Iosevich, Doowon Koh, Mark Lewko

Type: Preprint

Publication Date: 2017-12-15

Citations: 7

Locations

arXiv (Cornell University) - View

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Action	Title	Year	Authors
+	Counting rectangles and an improved restriction estimate for the paraboloid in $F_p^3$.	2019	Mark Lewko
+	Extension theorems and a connection to the Erd\H{o}s-Falconer distance problem over finite fields	2018	Doowon Koh Thang Pham Lê Anh Vinh
+	Extension theorems for Hamming varieties over finite fields	2019	Daewoong Cheong Doowon Koh Thang Pham
+	On the restriction problem for discrete paraboloid in lower dimension	2018	Misha Rudnev Ilya D. Shkredov
+	The Fourier restriction and Kakeya problems over rings of integers modulo $N$	2018	Jonathan Hickman James Wright
+ PDF Chat	On Restriction Estimates for the Zero Radius Sphere over Finite Fields	2020	Alex Iosevich Doowon Koh Sujin Lee Thang Pham Chun‐Yen Shen
+ PDF Chat	AN EXPLICIT TWO‐SOURCE EXTRACTOR WITH MIN‐ENTROPY RATE NEAR	2019	Mark Lewko

Works Cited by This (10)

Action	Title	Year	Authors
+	Besicovitch type maximal operators and applications to fourier analysis	1991	Jean Bourgain
+ PDF Chat	Bounds on Oscillatory Integral Operators Based on Multilinear Estimates	2011	Jean Bourgain Larry Guth
+ PDF Chat	On the multilinear restriction and Kakeya conjectures	2006	Jonathan Bennett Anthony Carbery Terence Tao
+	Restriction estimates using polynomial partitioning II	2016	Larry Guth
+	Conjecture and improved extension theorems for paraboloids in the finite field setting	2016	Doowon Koh
+	Extension theorems for the Fourier transform associated with non-degenerate quadratic surfaces in vector spaces over finite fields	2008	Alex Iosevich Doowon Koh
+	A restriction estimate using polynomial partitioning	2015	Larry Guth
+ PDF Chat	A sharp bilinear restriction estimate for paraboloids	2003	Terence Tao
+ PDF Chat	An improved point-line incidence bound over arbitrary fields	2017	Sophie Stevens Frank de Zeeuw
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski