A NEW SUM–PRODUCT ESTIMATE IN PRIME FIELDS

DOI10.1017/S0004972719000303zbMath1453.11018arXiv1807.10998OpenAlexW2962735599MaRDI QIDQ5232886

Changhao Chen, Ali Mohammadi, Bryce Kerr

Publication date: 13 September 2019

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

Full work available at URL: https://arxiv.org/abs/1807.10998

zbMATH Keywords

additive combinatoricssum-product estimate

Mathematics Subject Classification ID

Finite fields and commutative rings (number-theoretic aspects) (11T99) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (2)

Sum-product phenomena for planar hypercomplex numbers ⋮ Stronger sum-product inequalities for small sets

Cites Work

• Unnamed Item
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• New sum-product type estimates over finite fields
• Energies and structure of additive sets
• On the number of incidences between points and planes in three dimensions
• A sum-product estimate in finite fields, and applications
• On the few products, many sums problem
• On New Sum-Product--Type Estimates
• An Improved Sum–Product Inequality in Fields of Prime Order
• Slightly improved sum-product estimates in fields of prime order
• A slight improvement to Garaev's sum product estimate
• The sum-product estimate for large subsets of prime fields
• On a variant of sum-product estimates and explicit exponential sum bounds in prime fields
• On the number of sums and products
• On asymptotic formulae in some sum–product questions
• Stronger sum-product inequalities for small sets
• Variations on the Sum-Product Problem
• Sum of Many Dilates
• An improved point-line incidence bound over arbitrary fields
• NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS
• An Explicit Sum-Product Estimate in Fp

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