Counting rectangles and an improved restriction estimate for the paraboloid in $F_p^3$
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Publication:5218199
DOI10.1090/proc/14904zbMath1434.42010arXiv1901.10085OpenAlexW2996636555MaRDI QIDQ5218199
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
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
- Unnamed Item
- New restriction estimates for the 3-d paraboloid over finite fields
- Szemerédi-Trotter-type theorems in dimension 3
- On the Erdős distinct distances problem in the plane
- The Szemerédi-Trotter type theorem and the sum-product estimate in finite fields
- Repeated angles in the plane and related problems
- On the number of incidences between points and planes in three dimensions
- Restriction and Kakeya phenomena for finite fields
- A sum-product estimate in finite fields, and applications
- On the restriction problem for discrete paraboloid in lower dimension
- Bisectors and pinned distances
- Finite field restriction estimates based on Kakeya maximal operator estimates
- The proof of the \(l^2\) decoupling conjecture
- Endpoint restriction estimates for the paraboloid over finite fields
- 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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