An energy decomposition theorem for matrices and related questions

DOI10.4153/s000843952300036xarXiv2106.07328WikidataQ122721607 ScholiaQ122721607MaRDI QIDQ6060875

Pham Van Thang, Ali Mohammadi, Yi-ting Wang

Publication date: 6 November 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.07328

zbMATH Keywords

energy estimatesfinite fieldsmatrix ringsexpanderssum-product estimates

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Polynomials over finite fields (11T06)

Cites Work

• New sum-product type estimates over finite fields
• Sum-product estimates via directed expanders
• Expansion for cubes in the Heisenberg group
• On the number of incidences between points and planes in three dimensions
• On the energy variant of the sum-product conjecture
• On a theorem of Hegyvári and Hennecart
• A short remark on the multiplicative energy of the spectrum
• Expanding phenomena over matrix rings
• Analogues of the Balog-Wooley decomposition for subsets of finite fields and character sums with convolutions
• A low-energy decomposition theorem
• A Remark on Sets with Small Wiener Norm
• An application of the sum-product phenomenon to sets avoiding several linear equations
• Products of Differences over Arbitrary Finite Fields
• Additive double character sums over some structured sets and applications
• On sums and products of residues modulo p

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