Sharp extension theorems and Falconer distance problems for algebraic curves in two dimensional vector spaces over finite fields
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Publication:664902
DOI10.4171/RMI/672zbMath1241.42008arXiv1003.4240MaRDI QIDQ664902
Publication date: 3 March 2012
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.4240
Other character sums and Gauss sums (11T24) Fourier series and coefficients in several variables (42B05)
Related Items (14)
Sharp $L^p\rightarrow L^r$ estimates for $k$-plane transforms in finite fields ⋮ The \(k\)-resultant modulus set problem on algebraic varieties over finite fields ⋮ Averages and maximal averages over Product \(j\)-varieties in finite fields ⋮ The generalized \(k\)-resultant modulus set problem in finite fields ⋮ On the Erdős-Falconer distance problem for two sets of different size in vector spaces over finite fields ⋮ Extension theorems for Hamming varieties over finite fields ⋮ Weak version of restriction estimates for spheres and paraboloids in finite fields ⋮ Distance sets of two subsets of vector spaces over finite fields ⋮ On the Sums of Any $k$ Points in Finite Fields ⋮ Conjecture and improved extension theorems for paraboloids in the finite field setting ⋮ Distribution of the determinants of sums of matrices ⋮ Extension theorems and a connection to the Erdős-Falconer distance problem over finite fields ⋮ On Restriction Estimates for the Zero Radius Sphere over Finite Fields ⋮ Restriction estimates for the flat disks over finite fields
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- Pinned distance sets, \(k\)-simplices, Wolff's exponent in finite fields and sum-product estimates
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- On the Restriction of the Fourier Transform to a Conical Surface
- On the Hausdorff dimensions of distance sets
- The Erdös–Falconer Distance Problem, Exponential Sums, and Fourier Analytic Approach to Incidence Theorems in Vector Spaces over Finite Fields
- Extension theorems for paraboloids in the finite field setting
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