Anuj Jakhar

most citedAn irreducibility criterion for integer polynomials

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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 the index divisors of certain number fields

Anuj Jakhar, Ravi Kalwaniya

Let $K=\Q(θ)$ be an algebraic number field with $θ$ a root of an irreducible quadrinomial $f (x) = x^{6} + a x^{m} + b x + c \in Z [x]$ with $m \in {2, 3, 4, 5}$ . In the present paper, we give some…