Shashank Singh

activity

20162022

most citedSymplectic Hypergeometric Groups of Degree Six

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.GR2022

Thinness of some hypergeometric groups in Sp(6)

Sandip Singh, Shashank Vikram Singh

We show that the hypergeometric groups corresponding to the seven pairs of the parameters $α$ , $β$ where $α$ = (0, 0, 0, 0, 0, 0) and $β$ is any of the parameters (1/2, 1/2, 1/2, 1…

math.GR2022

Arithmeticity of Some Hypergeometric Groups

Jitendra Bajpai, Sandip Singh, Shashank Vikram Singh

We show that the hypergeometric groups associated to the pairs of the parameters $(0, 0, \frac{1}{3}, \frac{2}{3})$ , $\left(\frac{1}{2},\frac{1}{2},\frac{1}{4},\frac{3}{4}…

math.GR2020★ 1 cited

Symplectic Hypergeometric Groups of Degree Six

Jitendra Bajpai, Daniele Dona, Sandip Singh +1

Our computations show that there is a total of $40$ pairs of degree six coprime polynomials $f, g$ where $f (x) = (x - 1)^{6}$ , $g$ is a product of cyclotomic polynomials, $g (0) = 1$ and $f,…

math.NT2016

On Irreducible Polynomials of the Form $b (x^{d})$

Palash Sarkar, Shashank Singh

Let $p$ be a prime and $b (x)$ be an irreducible polynomial of degree $k$ over $F_{p}$ . Let $d \geq 1$ be an integer. Consider the following question: Is $b (x^{d})$ irreducible?…

Thinness of some hypergeometric groups in Sp(6)

Arithmeticity of Some Hypergeometric Groups

Symplectic Hypergeometric Groups of Degree Six

On Irreducible Polynomials of the Form b(xd)

On Irreducible Polynomials of the Form $b (x^{d})$