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Matrix Waring Problem -- II

Published 10 May 2022 in math.GR, math.NT, and math.RA | (2205.04710v2)

Abstract: We prove that for all integers $k \geq 1$, there exists a constant $C_k$ depending only on $k$ such that for all $q > C_k$ and for all $n \geq 1$ every matrix in $M_n(\mathbb F_q)$ is a sum of two $k$th powers.

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