Bishnu Paudel

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20212024

most citedMinimal Group Determinants For Dicyclic Groups

12 citations · 22 across the 11 of their papers we have counts for

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math.NT2024

The integer group determinants for the abelian groups of order 18

Bishnu Paudel, Chris Pinner

We obtain a complete description of the integer group determinants for $Z_{18}$ (these are the $18 \times 18$ circulant determinants with integer entries) and $\mathbb Z_3 \t…

math.NT2024

The integer group determinants for GA(1,p) and related semidirect products

Humberto Bautista Serrano, Bishnu Paudel, Chris Pinner

We consider the integer group determinants for groups that are semidirect products of $Z_{p}$ and $Z_{n}$ with $p$ prime and $n ∣ p - 1$ . We give a complete description…

math.NT2023★ 1 cited

The integer group determinants for the non-abelian groups of order 18

Bishnu Paudel, Chris Pinner

We obtain a complete description of the integer group determinants for the non-abelian groups of order 18.

math.NT2023★ 1 cited

The integer group determinants for the semidihedral group of order 16

Humberto Bautista Serrano, Bishnu Paudel, Chris Pinner

We obtain a complete description of the integer group determinants for SmallGroup(16,8), the semidihedral group of order 16. While this paper was in preparation, a complete descrip…

math.NT2023★ 1 cited

The integer group determinants for SmallGroup(16,13)

Humberto Bautista Serrano, Bishnu Paudel, Chris Pinner

We obtain a complete description of the integer group determinants for SmallGroup(16,13), the central product of the dihedral group of order eight and cyclic group of order four. T…

math.NT2023★ 2 cited

The integer group determinants for $Q_{16}$

Bishnu Paudel, Christopher Pinner

We obtain a complete description of the integer group determinants for $Q_{16},$ the dicyclic or generalized quaternion group of order 16.

math.NT2023

An upper bound on the inhomogeneous approximation constants

Bishnu Paudel, Chris Pinner

For an irrational real $α$ and $γ \neq \in Z + Z α$ it is well known that $∣ n ∣ \to \infty lim inf ∣ n ∣∣∣ n α - γ ∣∣ \leq \frac{1}{4} .$ If the partial quotient…

math.NT2023

Bounding the Largest Inhomogeneous Approximation Constant

Bishnu Paudel, Chris Pinner

For a given irrational number $α$ and a real number $γ$ in $(0, 1)$ one defines the two-sided inhomogeneous approximation constant \begin{equation*} M(α,γ):=\liminf_{|n|\rightarrow\…

math.NT2022

The group determinants for $Z_{n} \times H$

Bishnu Paudel, Christopher Pinner

Let $Z_{n}$ denote the cyclic group of order $n$ . We show how the group determinant for $G = Z_{n} \times H$ can be simply written in terms of the group determinant for…

math.NT2021★ 5 cited

Integer circulant determinants of order 15

Bishnu Paudel, Chris Pinner

We consider the values taken by $n \times n$ circulant determinants with integer entries when $n$ is the product of two distinct odd primes $p, q$ . These correspond to the integer gr…

math.NT2021★ 12 cited

Minimal Group Determinants For Dicyclic Groups

Bishnu Paudel, Chris Pinner

We determine the minimal non-trivial integer group determinant for the dicyclic group of order $4 n$ when $n$ is odd. We also discuss the set of all integer group determinants for t…

The integer group determinants for the abelian groups of order 18

The integer group determinants for GA(1,p) and related semidirect products

The integer group determinants for the non-abelian groups of order 18

The integer group determinants for the semidihedral group of order 16

The integer group determinants for SmallGroup(16,13)

The integer group determinants for Q16​

An upper bound on the inhomogeneous approximation constants

Bounding the Largest Inhomogeneous Approximation Constant

The group determinants for Zn​×H

Integer circulant determinants of order 15

Minimal Group Determinants For Dicyclic Groups

The integer group determinants for $Q_{16}$

The group determinants for $Z_{n} \times H$