Surender Kumar

activity

20232026

most citedOn the index of power compositional polynomials

7 citations · 8 across the 4 of their papers we have counts for

collaborators

6 papers

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.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

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…

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…

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