Dot-product sets and simplices over finite rings

DOI10.1007/s00041-022-09933-7OpenAlexW4220683849MaRDI QIDQ2124656

Le Anh Vinh, Nguyen Van The

Publication date: 11 April 2022

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.04592

zbMATH Keywords

ringssimplicesresiduedot-product setsErdős distinct distance problem

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Erd?s problems and related topics of discrete geometry (52C10)

Cites Work

• Unnamed Item
• Pinned distance sets, \(k\)-simplices, Wolff's exponent in finite fields and sum-product estimates
• An improvement on the number of simplices in \(\mathbb{F}_q^d\)
• Ubiquity of simplices in subsets of vector spaces over finite fields
• A Szemerédi type theorem for sets of positive density in \(\mathbb R^k\)
• Group actions and geometric combinatorics in \(\mathbb{F}_{q}^{d}\)
• A sum-product estimate in finite fields, and applications
• Results on the Erdős-Falconer distance problem in \(\mathbb{Z}_q^d\) for odd \(q\)
• Product graphs, sum-product graphs and sum-product estimates over finite rings
• Geometric configurations in the ring of integers modulo p^{ell}
• 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
• On kaleidoscopic pseudo-randomness of finite Euclidean graphs
• Sums and products in finite fields: an integral geometric viewpoint
• On the pinned distances problem in positive characteristic

This page was built for publication: Dot-product sets and simplices over finite rings