On the generalized Erdős-Falconer distance problems over finite fields

DOI10.1016/J.JNT.2012.10.015zbMath1295.11027OpenAlexW2039001181MaRDI QIDQ740845

Le Anh Vinh

Publication date: 9 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.10.015

zbMATH Keywords

finite fieldspseudo-random graphsErdős-Falconer distance problems

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Discrete geometry (52C99)

Related Items (5)

The generalized \(k\)-resultant modulus set problem in finite fields ⋮ ON THE TWO-PARAMETER ERDŐS–FALCONER DISTANCE PROBLEM IN FINITE FIELDS ⋮ Incidences between points and generalized spheres over finite fields and related problems ⋮ Distinct distances on regular varieties over finite fields ⋮ Distribution of the determinants of sums of matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Pinned distance sets, \(k\)-simplices, Wolff's exponent in finite fields and sum-product estimates
• The generalized Erdős-Falconer distance problems in vector spaces over finite fields
• Sum-product estimates via directed expanders
• Explicit Ramsey graphs and Erdős distance problems over finite Euclidean and non-Euclidean spaces
• A sum-product estimate in finite fields, and applications
• Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture
• The sovability of norm, bilinear and quadratic equations over finite fields via spectra of graphs
• Erdös distance problem in vector spaces over finite fields
• Solvability of systems of general equations over finite fields

This page was built for publication: On the generalized Erdős-Falconer distance problems over finite fields