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pro vyhledávání: '"Kishore, Krishna"'
We prove that for all integers $k \geq 1$, $q\ge (k-1)^4+ 6k$, and $m \geq 1$, every matrix in $ M_m(\mathbb F_q)$ is a sum of two kth powers: $M_m(\mathbb F_q)=\{A^k+B^k|A,B\in M_m(\mathbb F_q)\}$. We further generalize and refine this result in the
Externí odkaz:
http://arxiv.org/abs/2306.06588
Publikováno v:
F1000Research, Vol 12 (2024)
Background The Zika virus (ZIKV) infection has emerged as a global health threat. The causal reasoning is that Zika infection is linked to the development of microcephaly in newborns and Guillain-Barré syndrome in adults. With no clinically approved
Externí odkaz:
https://doaj.org/article/c6ebdfc13caf4da1a15914077ecd1a7d
Autor:
Kishore, Krishna, Singh, Anupam
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.
Externí odkaz:
http://arxiv.org/abs/2205.04710
Autor:
Kishore, Krishna
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 $M_n(\mathbb{F}_q)$ is a sum of two $k$th powers and for all $n \geq 3$ every matrix in $M
Externí odkaz:
http://arxiv.org/abs/2111.11774
Publikováno v:
In Journal of Pure and Applied Algebra July 2024 228(7)
Autor:
Hui, Chun Yin, Kishore, Krishna
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 of the Nottingham group defined over the prime field of characteristic p >0. In the cases where l < p,
Externí odkaz:
http://arxiv.org/abs/1810.11304
Autor:
Kishore, Krishna
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 coefficients in a locally constant sheaf of complex vector spaces. We
Externí odkaz:
http://arxiv.org/abs/1802.06978
Autor:
Kishore, Krishna
Publikováno v:
In Linear Algebra and Its Applications 1 August 2022 646:84-94
Autor:
Kishore, Krishna
We classify torsion elements of order $p^2$ and type $\langle 2, m \rangle$ in the Nottingham group defined over a prime field of characteristic $p >0$.
Comment: To appear in the Journal of the Ramanujan Mathematical Society
Comment: To appear in the Journal of the Ramanujan Mathematical Society
Externí odkaz:
http://arxiv.org/abs/1710.09194
Autor:
Kishore, Krishna
The main theorem is incorrectly stated.
Comment: The main theorem is incorrectly stated
Comment: The main theorem is incorrectly stated
Externí odkaz:
http://arxiv.org/abs/1708.01950