Anuj Jakhar

activity

20162024

most citedOn Schur's irreducibility results and generalised

ϕ

-Hermite polynomials

1 citations · 4 across the 9 of their papers we have counts for

collaborators

9 papers

math.NT2024★ 1 cited

A Study of monogenity of Binomial Composition

Anuj Jakhar, Ravi Kalwaniya, Prabhakar Yadav

Let $θ$ be a root of a monic polynomial $h (x) \in Z [x]$ of degree $n \geq 2$ . We say $h (x)$ is monogenic if it is irreducible over $\Q$ and ${1, θ, θ^{2}, \dots, θ^{n - 1}}$ is a…

math.NT2023

On the irreducibility of extended Laguerre Polynomials

Anuj Jakhar, Srinivas Kotyada, Arunabha Mukhopadhyay

Let $m \geq 1$ and $a_{m}$ be integers. Let $α$ be a rational number which is not a negative integer such that $α = \frac{u}{v}$ with $g cd (u, v) = 1, v > 0$ . Let $ϕ (x)$ belonging to $\Z[…

math.NT2023

An extension of a second irreducibility theorem of I. Schur

Anuj Jakhar, Ravi Kalwaniya

Let $n \neq = 8$ be a positive integer such that $n + 1 \neq = 2^{u}$ for any integer $u \geq 2$ . Let $ϕ (x)$ belonging to $Z [x]$ be a monic polynomial which is irreducible modulo a…

math.NT2023★ 1 cited

On Schur's irreducibility results and generalised $ϕ$ -Hermite polynomials

Anuj Jakhar

Let $c$ be a fixed integer such that $c \in {0, 2} .$ Let $n$ be a positive integer such that either $n \geq 2$ or $2 n + 1 \neq = 3^{u}$ for any integer $u \geq 2$ according as $c = 0$ or…

math.NT2023

DISCRIMINANT and integral basis OF $Q (12 a)$

Anuj Jakhar, Surender Kumar

Suppose $m$ be a $12$ -th power free integer. Let $K = Q (θ)$ be an algebraic number field defined by a complex root $θ$ of an irreducible polynomial $x^{12} - m$ and $O_{K}$ be i…

math.NT2023

On power basis of a class of number fields

Anuj Jakhar, Sumandeep Kaur, Surender Kumar

Let $f (x) = x^{n} + a x^{2} + b x + c \in Z [x]$ be an irreducible polynomial with $b^{2} = 4 a c$ and let $K=\Q(θ)$ be an algebraic number field defined by a complex root $θ$ of $f (x)$ . Let $Z_{K}$ de…

A Study of monogenity of Binomial Composition

On the irreducibility of extended Laguerre Polynomials

An extension of a second irreducibility theorem of I. Schur

On Schur's irreducibility results and generalised ϕ-Hermite polynomials

DISCRIMINANT and integral basis OF Q(12a​)

On power basis of a class of number fields

On Schur's irreducibility results and generalised $ϕ$ -Hermite polynomials

DISCRIMINANT and integral basis OF $Q (12 a)$