ON THREE-VARIABLE EXPANDERS OVER FINITE FIELDS

DOI10.1142/S1793042113501182zbMath1286.11127OpenAlexW2050259011MaRDI QIDQ5408834

Le Anh Vinh

Publication date: 11 April 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042113501182

zbMATH Keywords

finite fieldexpanderextractorspectral graph

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Estimates on character sums (11L40) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (1)

A Szemerédi-Trotter type theorem, sum-product estimates in finite quasifields, and related results

Cites Work

• Integers
• Pinned distance sets, \(k\)-simplices, Wolff's exponent in finite fields and sum-product estimates
• The Szemerédi-Trotter type theorem and the sum-product estimate in finite fields
• Bounding multiplicative energy by the sumset
• Sum-product estimates via directed expanders
• Equations in finite fields with restricted solution sets. I: Character sums
• Near optimal bounds for the Erdős distinct distances problem in high dimensions
• Equations in finite fields with restricted solution sets. II: Algebraic equations
• A sum-product estimate in finite fields, and applications
• Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture
• The sum-product estimate for large subsets of prime fields
• Erdös distance problem in vector spaces over finite fields
• Incidences and the Spectra of Graphs
• Mordell’s exponential sum estimate revisited
• Fourier analysis and expanding phenomena in finite fields
• On sums and products of residues modulo p
• ON THE NUMBER OF SUMS AND PRODUCTS
• Integral distances

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