Elementary methods for incidence problems in finite fields
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Publication:2957233
DOI10.4064/aa8225-10-2016zbMath1366.52018arXiv1407.2397OpenAlexW2963154792MaRDI QIDQ2957233
Oliver Roche-Newton, Javier Cilleruelo, Alexander Iosevich, Ben D. Lund, Michael Rudnev
Publication date: 25 January 2017
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.2397
Other designs, configurations (05B30) Erd?s problems and related topics of discrete geometry (52C10) Other finite incidence structures (geometric aspects) (51E30)
Related Items (6)
A point-sphere incidence bound in odd dimensions and applications ⋮ Distribution of pinned distance trees in the plane \(\mathbb{F}_p^2\) ⋮ Incidences between planes over finite fields ⋮ Incidences between points and generalized spheres over finite fields and related problems ⋮ Distinct distances between points and lines in \(\mathbb{F}_q^2\) ⋮ A point-conic incidence bound and applications over \(\mathbb{F}_p\)
Cites Work
- Areas of triangles and Beck's theorem in planes over finite fields
- Pinned distance sets, \(k\)-simplices, Wolff's exponent in finite fields and sum-product estimates
- Eigenvalues, geometric expanders, sorting in rounds, and Ramsey theory
- The Szemerédi-Trotter type theorem and the sum-product estimate in finite fields
- On the lattice property of the plane and some problems of Dirac, Motzkin and Erdős in combinatorial geometry
- On distinct perpendicular bisectors and pinned distances in finite fields
- A sum-product estimate in finite fields, and applications
- Combinatorial problems in finite fields and Sidon sets
- Incidence Bounds for Block Designs
- Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture
- AN EXPLICIT INCIDENCE THEOREM IN
- Erdös distance problem in vector spaces over finite fields
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