SUM-PRODUCT ESTIMATES FOR DIAGONAL MATRICES

DOI10.1017/S000497272000060XzbMath1468.11041arXiv2005.13432OpenAlexW3104184570MaRDI QIDQ5147579

Akshat Mudgal

Publication date: 27 January 2021

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

Full work available at URL: https://arxiv.org/abs/2005.13432

zbMATH Keywords

sum-product estimatesarithmetic combinatorics

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Matrices, determinants in number theory (11C20) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (1)

Higher convexity and iterated second moment estimates

Cites Work

• Unnamed Item
• An incidence theorem in higher dimensions
• An application of kissing number in sum-product estimates
• On sum-sets and product-sets of complex numbers
• A sum-product estimate in algebraic division algebras
• On New Sum-Product--Type Estimates
• A Sum–Product Theorem in Function Fields
• Sum-product formulae
• The sum-product phenomenon in arbitrary rings
• Sum-product estimates for well-conditioned matrices
• An Improved Sum-Product Bound for Quaternions
• On higher energy decompositions and the sum–product phenomenon
• Additive and Multiplicative Structure in Matrix Spaces

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