Distribution of similar configurations in subsets of \(\mathbb{F}_q^d\)

DOI10.1016/j.disc.2023.113571zbMath1525.11013arXiv2208.11579OpenAlexW4382541955MaRDI QIDQ6172307

Firdavs Rakhmonov

Publication date: 19 July 2023

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.11579

zbMATH Keywords

discrete geometryErdős problemspoint configurations in vector spaces over finite fieldsgraphs and abstract algebracombinatorics of finite fields

Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10) Arithmetic combinatorics; higher degree uniformity (11B30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Erdős distinct distances problem in the plane
• Group actions and geometric combinatorics in \(\mathbb{F}_{q}^{d}\)
• A sum-product estimate in finite fields, and applications
• On the quotient set of the distance set
• Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture
• An Inequality Arising in Genetical Theory
• Erdös distance problem in vector spaces over finite fields
• On sets of integers containing k elements in arithmetic progression
• FROM GRAPH LIMITS TO HIGHER ORDER FOURIER ANALYSIS

This page was built for publication: Distribution of similar configurations in subsets of \(\mathbb{F}_q^d\)