On the size of the set \(A(A + 1)\)

DOI10.1007/s00209-009-0504-0zbMath1237.11004arXiv0811.4206OpenAlexW2073745474MaRDI QIDQ966449

Chun-Yen Shen, Moubariz Z. Garaev

Publication date: 23 April 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.4206

zbMATH Keywords

expandersum-product phenomenon

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) 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
• The sum-product estimate for large subsets of prime fields
• An extension of Bourgain and Garaev's sum-product estimates
• On a variant of sum-product estimates and explicit exponential sum bounds in prime fields
• Arithmetic problems in the theory of Dirichlet characters
• On the number of sums and products
• MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS
• 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

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