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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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.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.

Waring Problem for Matrices over Finite Fields

Inner cohomology of GLn​

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

Inner Cohomology of the General Linear Group

Inner cohomology of $G L_{n}$

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