Distance sets over arbitrary finite fields

DOI10.1215/00192082-7854872zbMath1454.11028OpenAlexW2974416768MaRDI QIDQ2325692

Chun-Yen Shen, Doowon Koh, Sujin Lee, Pham Van Thang

Publication date: 27 September 2019

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1568858868

zbMATH Keywords

Erdős distinct distances problem

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Other character sums and Gauss sums (11T24) Arithmetic combinatorics; higher degree uniformity (11B30)

Cites Work

• The Szemerédi-Trotter type theorem and the sum-product estimate in finite fields
• A sum-product estimate in finite fields, and applications
• On distance sets and product sets in vector spaces over finite rings
• Conditional expanding bounds for two-variable functions over prime fields
• Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture
• An improved sum-product estimate for general finite fields
• A slight improvement to Garaev's sum product estimate
• Erdös distance problem in vector spaces over finite fields
• Explicit constructions of extractors and expanders
• Fourier analysis and expanding phenomena in finite fields
• Sum-product Estimates in Finite Fields via Kloosterman Sums

This page was built for publication: Distance sets over arbitrary finite fields