Sumandeep Kaur

activity

20202026

most citedOn the index of power compositional polynomials

7 citations · 9 across the 5 of their papers we have counts for

collaborators

9 papers

math.NT2026

Monogenity of the irreducible factors of $(k, t)$ -Fibonacci and $(k, t)$ -Lucas polynomials

Michail Karatarakis, Sumandeep Kaur

In this article, we study the monogenity of the number field generated by a root of an irreducible factor of the generalized $(k, t)$ -Fibonacci and $(k, t)$ -Lucas polynomial sequence…

math.RA2026

Irreducible $Z_{+}$ -modules over $Z [m d_{1}, m d_{2}, \dots, m d_{r}]$

Surender Kumar, Sumandeep Kaur

Let $d_{1}, d_{2}, \dots, d_{r} \geq 2$ be $m$ -th power free positive integers. In this paper, we provide explicit representations of all irreducible $Z_{+}$ -modules over $\mathbb{Z}…

math.NT2026

The Index of Composition of polynomials and its applications

Surender Kumar, Sumandeep Kaur

The index of a given monic irreducible polynomial $f (x) \in Z [x]$ having a root $θ$ is the index of $Z [θ]$ in the ring of algebraic integers of $Q (θ) .$ Furthe…

math.NT2026

A Local Approach to Monogenity with an Application to Lenny Jones' Conjecture

Michail Karatarakis, Sumandeep Kaur

The study of monogenic polynomials is a classical problem in algebraic number theory. Existing criteria for deciding whether a polynomial is monogenic typically rely on discriminan…

math.NT2024★ 7 cited

On the index of power compositional polynomials

Sumandeep Kaur, Surender Kumar, László Remete

The index of a monic irreducible polynomial $f (x) \in Z [x]$ having a root $θ$ is the index $[Z_{K} : Z [θ]]$ , where $Z_{K}$ is the ring of algebraic inte…

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…

math.NT2023★ 1 cited

On common index divisor of the number fields defined by $x^{7} + a x + b$

Anuj Jakhar, Sumandeep Kaur, Surender Kumar

Let $f (x) = x^{7} + a x + b$ be an irreducible polynomial having integer coefficients and $K = Q (θ)$ be an algebraic number field generated by a root $θ$ of $f (x)$ . In the present pa…

physics.med-ph2021★ 1 cited

Negative-contrast neurography: Imaging the extracranial facial nerve and its branches using contrast-enhanced variable flip angle turbo spin echo MRI

Timothy JP Bray, Emma A Lim, Susan Jawad +7

Background and Purpose: Various 'positive-contrast' neurographic methods have been investigated for imaging the extracranial course of the facial nerve. However, nerve visibility c…

math.NT2020

Discriminant and Integral basis of sextic fields defined by x^6+ax+b

Sumandeep Kaur, Sudesh Kaur Khanduja

Let $K = Q (θ)$ be an algebraic number field with $θ$ a root of an irreducible trinomial $f (x) = x^{6} + a x + b$ belonging to $Z [x]$ . In this paper, for each prime number $p$ …

Monogenity of the irreducible factors of (k,t)-Fibonacci and (k,t)-Lucas polynomials

Irreducible Z+​-modules over Z[md1​​,md2​​,…,mdr​​]

The Index of Composition of polynomials and its applications

A Local Approach to Monogenity with an Application to Lenny Jones' Conjecture

On the index of power compositional polynomials

On power basis of a class of number fields

On common index divisor of the number fields defined by x7+ax+b

Negative-contrast neurography: Imaging the extracranial facial nerve and its branches using contrast-enhanced variable flip angle turbo spin echo MRI

Discriminant and Integral basis of sextic fields defined by x^6+ax+b

Monogenity of the irreducible factors of $(k, t)$ -Fibonacci and $(k, t)$ -Lucas polynomials

Irreducible $Z_{+}$ -modules over $Z [m d_{1}, m d_{2}, \dots, m d_{r}]$

On common index divisor of the number fields defined by $x^{7} + a x + b$