Samrith Ram

activity

20102026

most citedBlock Companion Singer Cycles, Primitive Recursive Vector Sequences, and Coprime Polynomial Pairs over Finite Fields

24 citations · 69 across the 21 of their papers we have counts for

collaborators

Showing 2021 · math.COShow all

3 papers · 2 filters

math.CO2021★ 1 cited

Set partitions, tableaux, and subspace profiles under regular diagonal matrices

Amritanshu Prasad, Samrith Ram

We introduce a family of univariate polynomials indexed by integer partitions. At prime powers, they count the number of subspaces in a finite vector space that transform under a r…

math.CO2021

Polynomial Matrices, Splitting Subspaces and Krylov Subspaces over Finite Fields

Divya Aggarwal, Samrith Ram

Let $T$ be a linear operator on an $F_{q}$ -vector space $V$ of dimension $n$ . For any divisor $m$ of $n$ , an $m$ -dimensional subspace $W$ of $V$ is $T$ -splitting if $$ V =W\…

math.CO2021

Splitting Subspaces of Linear Operators over Finite Fields

Divya Aggarwal, Samrith Ram

Let $V$ be a vector space of dimension $N$ over the finite field $F_{q}$ and $T$ be a linear operator on $V$ . Given an integer $m$ that divides $N$ , an $m$ -dimensional subsp…