Surender Kumar

collaborators

3 papers

math.NT2024

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…

On the index of power compositional polynomials

DISCRIMINANT and integral basis OF Q(12a​)

On power basis of a class of number fields

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