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

collaborators

11 papers

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.NT2023★ 2 cited

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_…

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.CO2021

Matrix Waring Problem

Krishna Kishore

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 $n = 1, 2$ 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…

math.NT2018

Inner cohomology of $G L_{n}$

Krishna Kishore

We give an explicit description of the inner cohomology of an adelic locally symmetric space of a given level structure attached to the general linear group of prime rank $n$ , with…

math.NT2017

Torsion elements of the Nottingham group of order $p^{2}$ and type $⟨ 2, m ⟩$

Krishna Kishore

We classify torsion elements of order $p^{2}$ and type $⟨ 2, m ⟩$ in the Nottingham group defined over a prime field of characteristic $p > 0$ .

math.NT2017

Inner Cohomology of the General Linear Group

Krishna Kishore

The main theorem is incorrectly stated.

math.RT2017

Representation Variety of Surface Groups

Krishna Kishore

We give an exact formula for the dimension of the variety of homomorphisms from $S_{g}$ to $any$ semisimple real algebraic group, where $S_{g}$ is a surface group of genus $g…

math.RT2014

Representation Variety of Fuchsian Groups in SO(p,q)

Krishna Kishore

We estimate the dimension of the variety of homomorphisms from $Γ$ to $S O (p, q)$ with Zariski dense image, where $Γ$ is a Fuchsian group, and $S O (p, q)$ is the indefinite special or…

Matrix Waring Problem-III

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

Waring Problem for Matrices over Finite Fields

Matrix Waring Problem -- II

Matrix Waring Problem

Torsion elements of the Nottingham group of order p^2

Inner cohomology of GLn​

Torsion elements of the Nottingham group of order p2 and type ⟨2,m⟩

Inner Cohomology of the General Linear Group

Representation Variety of Surface Groups

Representation Variety of Fuchsian Groups in SO(p,q)

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

Inner cohomology of $G L_{n}$

Torsion elements of the Nottingham group of order $p^{2}$ and type $⟨ 2, m ⟩$