𝑘-chain configurations of points over 𝑝-adic rings

DOI10.1090/proc/16339OpenAlexW4310415803MaRDI QIDQ6052125

Ben Lichtin

Publication date: 21 September 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/16339

zbMATH Keywords

Fourier transform\(p\)-adic numbersexponential sum estimates\(k\)-point configurations

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Exponential sums (11T23)

Cites Work

• Pinned distance sets, \(k\)-simplices, Wolff's exponent in finite fields and sum-product estimates
• A Furstenberg-Katznelson-Weiss type theorem on \((d+1)\)-point configurations in sets of positive density in finite field geometries
• Ubiquity of simplices in subsets of vector spaces over finite fields
• Group actions and geometric combinatorics in \(\mathbb{F}_{q}^{d}\)
• Unit-graphs and special unit-digraphs on matrix rings
• A sum-product estimate in finite fields, and applications
• LONG PATHS IN THE DISTANCE GRAPH OVER LARGE SUBSETS OF VECTOR SPACES OVER FINITE FIELDS
• Geometric configurations in the ring of integers modulo p^{ell}
• The sum-product phenomenon in arbitrary rings
• Erdös distance problem in vector spaces over finite fields
• Distance and sum–product problems over finite p‐adic rings
• Averages of point configuration problems over finite $p-$adic rings
• Unnamed Item

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