On Restriction Estimates for the Zero Radius Sphere over Finite Fields

DOI10.4153/S0008414X20000152zbMath1467.42012arXiv1806.11387MaRDI QIDQ4999641

Sujin Lee, Pham Van Thang, Alexander Iosevich, Doowon Koh, Chun-Yen Shen

Publication date: 7 July 2021

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.11387

zbMATH Keywords

spherefinite fieldrestriction estimate

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier series and coefficients in several variables (42B05) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (6)

A point-sphere incidence bound in odd dimensions and applications ⋮ Averages and maximal averages over Product \(j\)-varieties in finite fields ⋮ An asymmetric bound for sum of distance sets ⋮ Extension theorems for Hamming varieties over finite fields ⋮ Restriction estimates for the flat disks over finite fields ⋮ On the k-resultant modulus set problem on varieties over finite fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• New restriction estimates for the 3-d paraboloid over finite fields
• The Szemerédi-Trotter type theorem and the sum-product estimate in finite fields
• Sharp extension theorems and Falconer distance problems for algebraic curves in two dimensional vector spaces over finite fields
• Extension theorems for the Fourier transform associated with nondegenerate quadratic surfaces in vector spaces over finite fields
• Sets with many pairs of orthogonal vectors over finite fields
• A sharp bilinear restriction estimate for paraboloids
• A sharp bilinear cone restriction estimate
• Restriction and Kakeya phenomena for finite fields
• On the restriction problem for discrete paraboloid in lower dimension
• Finite field restriction estimates for the paraboloid in high even dimensions
• A restriction estimate using polynomial partitioning
• Endpoint restriction estimates for the paraboloid over finite fields
• Maximal Sets of Pairwise Orthogonal Vectors in Finite Fields
• Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture
• 11. Point-plane incidences and some applications in positive characteristic
• Extension theorems for spheres in the finite field setting
• On the Restriction of the Fourier Transform to a Conical Surface
• On Fourier coefficients and transforms of functions of two variables
• Extension and averaging operators for finite fields
• Counting rectangles and an improved restriction estimate for the paraboloid in $F_p^3$

This page was built for publication: On Restriction Estimates for the Zero Radius Sphere over Finite Fields