Krishna Kishore

collaborators

2 papers

math.GR2026

Additive Decompositions by Conjugacy Classes in $M_{n} (F_{q})$

Krishna Kishore, Sunil Kumar Mallick

Let $n \geq 2$ be a positive integer, and $q$ be a prime power. We study the $n u mb er$ of additive decompositions of nonscalar matrices in the matrix ring $M_{n} (F_{q})$ as sum…

math.NT2024

Waring Problem for Matrices over Finite Fields

Krishna Kishore, Adrian Vasiu, Sailun Zhan

We prove that for all integers $k \geq 1$ , $q \geq (k - 1)^{4} + 6 k$ , and $m \geq 1$ , every matrix in $M_{m} (F_{q})$ is a sum of two kth powers: $M_m(\mathbb F_q)=\{A^k+B^k|A,B\in M_…

Additive Decompositions by Conjugacy Classes in Mn​(Fq​)

Waring Problem for Matrices over Finite Fields

Additive Decompositions by Conjugacy Classes in $M_{n} (F_{q})$