Distinct distances between points and lines in \(\mathbb{F}_q^2\)

DOI10.1515/forum-2016-0248zbMath1392.05034OpenAlexW2761291005MaRDI QIDQ723284

Claudiu Valculescu, Nguyen Minh Sang, Nguyen Duy Phuong, Le Anh Vinh, Pham Van Thang

Publication date: 30 July 2018

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2016-0248

zbMATH Keywords

finite fieldsdistinct distancespoint-line incidences

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12) Erd?s problems and related topics of discrete geometry (52C10)

Related Items (4)

On k ‐point configuration sets with nonempty interior ⋮ Distances from points to planes ⋮ Configuration sets with nonempty interior ⋮ Congruence classes of large configurations in vector spaces over finite fields

Cites Work

• Unnamed Item
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• Incidences between points and generalized spheres over finite fields and related problems
• The Szemerédi-Trotter type theorem and the sum-product estimate in finite fields
• Character tables of association schemes of affine type
• Finite analogues of non-Euclidean spaces and Ramanujan graphs.
• A sum-product estimate in finite fields, and applications
• Incidence Bounds for Block Designs
• Elementary methods for incidence problems in finite fields
• 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

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