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

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4 papers · 1 filter

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…

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

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

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