Distribution of distances in positive characteristic
From MaRDI portal
Publication:2226661
DOI10.2140/pjm.2020.309.437zbMath1458.14060arXiv1905.06483OpenAlexW3125537384MaRDI QIDQ2226661
Publication date: 9 February 2021
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.06483
Finite fields and commutative rings (number-theoretic aspects) (11T99) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Erd?s problems and related topics of discrete geometry (52C10) Incidence structures embeddable into projective geometries (51A45) Arithmetic combinatorics; higher degree uniformity (11B30)
Related Items (4)
Distribution of Distances in Five Dimensions and Related Problems ⋮ ON THE TWO-PARAMETER ERDŐS–FALCONER DISTANCE PROBLEM IN FINITE FIELDS ⋮ Unnamed Item ⋮ An asymmetric bound for sum of distance sets
Cites Work
- Pinned distance sets, \(k\)-simplices, Wolff's exponent in finite fields and sum-product estimates
- On the Erdős distinct distances problem in the plane
- An improvement on the number of simplices in \(\mathbb{F}_q^d\)
- The Szemerédi-Trotter type theorem and the sum-product estimate in finite fields
- On distinct perpendicular bisectors and pinned distances in finite fields
- Near optimal bounds for the Erdős distinct distances problem in high dimensions
- On additive properties of product sets in an arbitrary finite field
- Group actions and geometric combinatorics in \(\mathbb{F}_{q}^{d}\)
- On the number of incidences between points and planes in three dimensions
- A sum-product estimate in finite fields, and applications
- On the energy variant of the sum-product conjecture
- On Falconer's distance set problem in the plane
- Three-variable expanding polynomials and higher-dimensional distinct distances
- A low-energy decomposition theorem
- Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture
- Erdös distance problem in vector spaces over finite fields
- On the Hausdorff dimensions of distance sets
- On asymptotic formulae in some sum–product questions
- An example related to the Erdos-Falconer question over arbitrary finite fields
- On higher energy decompositions and the sum–product phenomenon
- On Sets of Distances of n Points
This page was built for publication: Distribution of distances in positive characteristic