On the Erdős-Falconer distance problem for two sets of different size in vector spaces over finite fields

DOI10.1007/s00605-012-0469-7zbMath1331.11111arXiv1110.3502OpenAlexW2000158008MaRDI QIDQ1955621

Rainer Dietmann

Publication date: 17 June 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.3502

zbMATH Keywords

exponential sumsfinite fieldsadditive combinatoricsErdős-Falconer distance problem

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Erd?s problems and related topics of discrete geometry (52C10)

Related Items (5)

On the additive energy of the distance set in finite fields ⋮ Distance sets of two subsets of vector spaces over finite fields ⋮ On the Sums of Any $k$ Points in Finite Fields ⋮ Distribution of the determinants of sums of matrices ⋮ A point-conic incidence bound and applications over \(\mathbb{F}_p\)

Cites Work

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• Pinned distance sets, \(k\)-simplices, Wolff's exponent in finite fields and sum-product estimates
• On the Erdős distinct distances problem in the plane
• Sharp extension theorems and Falconer distance problems for algebraic curves in two dimensional vector spaces over finite fields
• On the set of distances between two sets over finite fields
• Additive energy and the Falconer distance problem in finite fields
• Extension theorems for spheres in the finite field setting
• Erdös distance problem in vector spaces over finite fields
• On the Hausdorff dimensions of distance sets
• On Sets of Distances of n Points

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