Ravi Kalwaniya

activity

20232025

most citedON the index divisors of certain number fields

1 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2025

Class numbers of Imaginary bicyclic biquadratic number fields

Anuj Jakhar, Ravi Kalwaniya, Mahesh Kumar Ram

For any fixed positive integer $n$ , we provide a method to compute all imaginary bicyclic biquadratic number fields with class number $n$ , along with their class group structures,…

math.NT2024★ 1 cited

A Study of monogenity of Binomial Composition

Anuj Jakhar, Ravi Kalwaniya, Prabhakar Yadav

Let $θ$ be a root of a monic polynomial $h (x) \in Z [x]$ of degree $n \geq 2$ . We say $h (x)$ is monogenic if it is irreducible over $\Q$ and ${1, θ, θ^{2}, \dots, θ^{n - 1}}$ is a…

math.NT2023

An extension of a second irreducibility theorem of I. Schur

Anuj Jakhar, Ravi Kalwaniya

Let $n \neq = 8$ be a positive integer such that $n + 1 \neq = 2^{u}$ for any integer $u \geq 2$ . Let $ϕ (x)$ belonging to $Z [x]$ be a monic polynomial which is irreducible modulo a…

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…