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An energy decomposition theorem for matrices and related questions
Published online by Cambridge University Press: 15 May 2023
Abstract
Given $A\subseteq GL_2(\mathbb {F}_q)$, we prove that there exist disjoint subsets $B, C\subseteq A$ such that $A = B \sqcup C$ and their additive and multiplicative energies satisfying
where
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- © The Author(s), 2023. Published by Cambridge University Press on behalf of The Canadian Mathematical Society
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