Krishna Kishore

activity

20142026

most citedWaring Problem for Matrices over Finite Fields

2 citations · 4 across the 9 of their papers we have counts for

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4 papers · 1 filter

math.GR2026

Matrix Waring Problem-III

Krishna Kishore, Sunil Kumar Mallick

Let $n, k$ be positive integers and $q$ be a prime power. We prove that there exists a real constant $C_{k}$ depending only on $k$ such that if $# M_{n} (F_{q}) > C_{k}$ then ever…

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.GR2022★ 2 cited

Matrix Waring Problem -- II

Krishna Kishore, Anupam Singh

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 $M_{n} (F_{q})$ …

math.GR2018

Torsion elements of the Nottingham group of order p^2

Chun Yin Hui, Krishna Kishore

We establish an explicit upper bound B(p,l,m), depending on p,l,m, on the number of conjugacy classes of order p^2 torsion elements u of type <l,m> of the Nottingham group defined…

Matrix Waring Problem-III

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

Matrix Waring Problem -- II

Torsion elements of the Nottingham group of order p^2

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