Sum-product phenomenon in finite fields not of prime order

DOI10.1216/RMJ-2011-41-3-941zbMath1270.11019MaRDI QIDQ633930

Chun-Yen Shen

Publication date: 2 August 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

sum-product estimatesexpanding maps

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Finite fields (field-theoretic aspects) (12E20) Arithmetic combinatorics; higher degree uniformity (11B30)

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Cites Work

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• A sum-product estimate in finite fields, and applications
• A slight improvement to Garaev's sum product estimate
• An extension of Bourgain and Garaev's sum-product estimates
• The sum-product phenomenon in arbitrary rings
• An Explicit Sum-Product Estimate in Fp
• Sum-product Estimates in Finite Fields via Kloosterman Sums
• ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER