Counting rectangles and an improved restriction estimate for the paraboloid in $F_p^3$

DOI10.1090/proc/14904zbMath1434.42010arXiv1901.10085OpenAlexW2996636555MaRDI QIDQ5218199

Mark Lewko

Publication date: 2 March 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.10085

zbMATH Keywords

finite field of prime residueincidence estimate for Cartesian product sets

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Other combinatorial number theory (11B75)

Related Items (4)

Extension theorems for Hamming varieties over finite fields ⋮ Finite field restriction estimates for the paraboloid in high even dimensions ⋮ On Restriction Estimates for the Zero Radius Sphere over Finite Fields ⋮ Restriction estimates for the flat disks over finite fields

Cites Work

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• On the restriction problem for discrete paraboloid in lower dimension
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• A new bound for the Erdős distinct distances problem in the plane over prime fields
• AN EXPLICIT TWO‐SOURCE EXTRACTOR WITH MIN‐ENTROPY RATE NEAR
• MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS
• Explicit two-source extractors and resilient functions
• An improved point-line incidence bound over arbitrary fields

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