Improved bounds for embedding certain configurations in subsets of vector spaces over finite fields

zbMATH Open1546.52017MaRDI QIDQ6588170

M. Sun, Barrett Heritage, Xinyu Fang, Alex Iosevich, Paige Bright

Publication date: 15 August 2024

Published in: Bulletin of the Hellenic Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

discrete Fourier transformfinite point configurationsErdős distance problemcharacter sum estimates

Mathematics Subject Classification ID

Exponential sums (11T23) Erd?s problems and related topics of discrete geometry (52C10) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Cites Work

• On the Erdős distinct distances problem in the plane
• Near optimal bounds for the Erdős distinct distances problem in high dimensions
• Cycles of arbitrary length in distance graphs on \(\mathbb{F}_q^d\)
• Long paths in the distance graph over large subsets of vector spaces over finite fields
• The sovability of norm, bilinear and quadratic equations over finite fields via spectra of graphs
• Erdös distance problem in vector spaces over finite fields
• Embedding distance graphs in finite field vector spaces
• On Sets of Distances of n Points

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