On the set of distances between two sets over finite fields

DOI10.1155/IJMMS/2006/59482zbMath1134.11044OpenAlexW2082192999MaRDI QIDQ2469014

Igor E. Shparlinski

Publication date: 1 February 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53937

zbMATH Keywords

exponential sumsdistance in graphsErdős distance conjecture

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Exponential sums (11T23) Finite fields (field-theoretic aspects) (12E20) Distance in graphs (05C12) Erd?s problems and related topics of discrete geometry (52C10)

Related Items (10)

The generalized \(k\)-resultant modulus set problem in finite fields ⋮ Parallelograms and the VC-dimension of the distance sets ⋮ On the Erdős-Falconer distance problem for two sets of different size in vector spaces over finite fields ⋮ ON SUM OF PRODUCTS AND THE ERDŐS DISTANCE PROBLEM OVER 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 \(\mathbb{F}_p\) ⋮ On character sums with distances on the upper half plane over a finite field ⋮ On the k-resultant modulus set problem on varieties over finite fields

Cites Work

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• Non-isotropic distance measures for lattice-generated sets
• Distance sets of well-distributed planar point sets
• Erdös distance problem in vector spaces over finite fields
• Circular averages and Falconer/Erdös distance conjecture in the plane for random metrics
• On some generalisations of the Erdős distance problem over finite fields

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